# Changing Unlike to Like Decimal Fraction

We will discuss here about changing unlike to like decimal fractions.

Unlike decimal fractions can be changed to like decimals by adding as many zeroes as required.

Suppose let us take decimal 14.3, 8.14 and 7.195

14.3 has 1 decimal place.

8.14 has 2 decimal places.

7.195 has 3 decimal places.

If other decimals are also changed into equivalent decimals with 3 decimal places, all of them will become like decimals with 3 decimal places.

Therefore, 14.300, 8.140 and 7.195 are like decimals.

Hence we conclude that,

(i) to find the number of decimal places in the decimal with the largest number of decimal places.

(ii) change the other decimals into their equivalent decimals which have the same number of decimal places as the decimal with the largest number of decimal places.

Solved examples to convert unlike decimals into like decimals:

1. (i) Convert the following unlike decimals into like decimals: 93.419, 184.3, 413.23

The decimal 93.419 has three decimal places. So convert the other decimals into their equivalent decimals which have three decimals places.

Thus, convert 184.3 into 184.300 and 413.23 into 413.230. All the unlike decimals are converted to like decimals by adding zeroes.
Therefore, 93.419, 184.300, 413.230 are all like decimals with three decimal places.

(ii) Convert 1.1, 0.01, 10.6, 101.1 into like decimals

The decimal 0.01 has two decimal places. So convert the other decimals into their equivalent decimals which have two decimals places.

Thus, convert 1.1 into 1.10, 10.6 into 10.60 and 101.1 into 101.10. All the unlike decimals are converted to like decimals by adding zeroes.
Therefore, 1.10, 0.01, 10.60, 101.10 are all like decimals with two decimal places.

(iii) 27.1, 0.652, 7.04, 116.3, 67.39 convert into like decimals

The decimal 0.652 has three decimal places. So convert the other decimals into their equivalent decimals which have three decimals places.

Thus, convert 27.1 into 27.100, 7.04 into 7.040, 116.3 into 116.300 and 67.39 into 67.390. All the unlike decimals are converted to like decimals by adding zeroes.
Therefore, 27.100, 0.652, 7.040, 116.300, 67.390 are all like decimals with three decimal places.

(iv) Convert the unlike decimals into like decimals: 99.99, 2196.1, 8.3

The decimal 99.99 has two decimal places. So convert the other decimals into their equivalent decimals which have two decimals places.

Thus, convert 2196.1 into 2196.10 and 8.3 into 8.30. All the unlike decimals are converted to like decimals by adding zeroes.
Therefore, 1.10, 0.01, 10.60, 101.10 are all like decimals with two decimal places.

(v) 39.121, 49, 199.9, 9.09 convert to like decimals.

The decimal 39.121 has three decimal places. So convert the other decimals into their equivalent decimals which have three decimals places.

Thus, convert 49 into 49.000, 199.9 into 199.900 and 9.09 into 9.090. All the unlike decimals are converted to like decimals by adding zeroes.
Therefore, 39.121, 49.000, 199.900, 9.090 are all like decimals with three decimal places.

(vi) Convert 0.3333, 127.01, 69.4 into like decimals.

The decimal 0.3333 has four decimal places. So the other unlike decimals are converted into like decimals by adding zeroes
Therefore, like decimals are 0.3333, 127.0100, 69.4000 with four decimal places.

(vii) 43.04, 94.3, 101.432 convert to like decimals.

The decimal 101.432 has three decimal places. So the other unlike decimals are converted into like decimals by adding zeroes
Therefore, like decimals are 43.040, 94.300, 101.432 with three decimal places.

(viii) Convert 13.183, 341.43, 1.04 to like decimals.

The decimal 13.183 has three decimal places. So the other unlike decimals are converted into like decimals by adding zeroes
Therefore, like decimals are 13.183, 341.430, 1.040 with three decimal places.

2. Convert the following set of unlike decimals into a set of like decimals.

19.6, 9.68, 11.081, 109.02

Solution:

The decimal number 11.081 has 3 digits after the decimal point, so we can convert unlike decimals by putting required number of zeroes in the decimal part to make them equivalent or like decimals.

19.6 = 19.600;

9.68 = 9.680;

11.081 = no change required;

109.02 = 109.020

So, 19.600, 9.680, 11.081, 109.020 are now like decimals.

Problems on Changing Unlike to Like Decimal Fraction:

1. Change the given decimals to like decimals:

(i) 3.7, 5.13, 7.9

(ii) 2.8, 1.005, 56.2

(iii) 1.5, 27.325, 6.8, 5.75

(iv) 6.21, 3.449, 4.61, 8.42

(v) 1.4, 8.09, 6.5, 3.11

(i) 3.70, 5.13, 7.90

(ii) 2.800, 1.005, 56.200

(iii) 1.500, 27.325, 6.800, 5.750

(iv) 6.210, 3.449, 4.610, 8.420

(v) 1.40, 8.09, 6.50, 3.11

## You might like these

• ### Comparison of Decimal Fractions | Comparing Decimals Numbers | Decimal

While comparing natural numbers we first compare total number of digits in both the numbers and if they are equal then we compare the digit at the extreme left. If they also equal then we compare the next digit and so on. We follow the same pattern while comparing the

• ### Fraction as Decimal | Converting Fractions | Fractions to Decimals Con

We will discuss how to express fraction as decimal. Let us consider some of the following examples on expressing a fraction as a decimal. 1. Convert $$\frac{4}{5}$$ into a decimal.

• ### Concept of Decimal | Decimal Point | Concept of Decimal System

We have already studied about fractions and now we will discuss here about the concept of decimal. Fractions can also be expressed as decimal Fractions.

• ### Uses of Decimals | Decimals In Daily Life | Importance Of Decimals

We will learn uses decimals in every day. In daily life we use decimals while dealing with length, weight, money etc. Use of Decimals whole Dealing with Money: 100 paise = 1 rupee We know that one paise in one hundredth of a rupee.

We will discuss here about the addition of decimals. Decimals are added in the same way as we add ordinary numbers. We arrange the digits in columns and then add as required. Let us consider some

• ### Subtraction of Decimals | Subtracting Decimals | Decimal Subtraction

We will discuss here about the subtraction of decimals. Decimals are subtracted in the same way as we subtract ordinary numbers. We arrange the digits in columns

• ### Equivalent Decimal Fractions | Like Decimal Fraction | Unlike Decimal

Equivalent decimal fractions are unlike fractions which are equal in value. Numbers obtained by inserting zeros after the extreme right digit in the decimal part of a decimal number are known as equivalent decimals.

• ### Decimal as Fraction | Convert From a Decimal to a Fraction |Converting

We will discuss how to express decimal as fraction. Let us consider some of the following examples on expressing a decimal as a fraction. 1. Convert 2.12 into a fraction. Solution: 2.12

• ### 5th Grade Decimals Worksheet | Operations on Decimals | Comparing |Ans

In 5th Grade Decimals Worksheet contains various types of questions on operations on decimal numbers. The questions are based on formation of decimals, comparing decimals, Converting Fractions to Decimals, Addition of decimals, subtraction of decimals, multiplication of

• ### Expanded form of Decimal Fractions |How to Write a Decimal in Expanded

Decimal numbers can be expressed in expanded form using the place-value chart. In expanded form of decimal fractions we will learn how to read and write the decimal numbers. Note: When a decimal is missing either in the integral part or decimal part, substitute with 0.

• ### Division of Decimal Fractions | Decimal Point | Division of Decimal

Division of a decimal number by 10, 100 or 1000 can be performed by moving the decimal point to the left by as many places as the number of zeroes in the divisor. The rules of division of decimal fractions by 10, 100, 1000 etc. are discussed here.

Addition of decimal numbers are similar to addition of whole numbers. We convert them to like decimals and place the numbers vertically one below the other in such a way that the decimal point lies exactly on the vertical line. Add as usual as we learnt in the case of whole

• ### Simplification in Decimals |PEMDAS Rule | Examples on Simplification

Simplification in decimals can be done with the help of PEMDAS Rule. From the above chart we can observe that first we have to work on "P or Parentheses" and then on "E or Exponents", then from

• ### Worksheet on Decimal Word Problems |Prob Involving Order of Operations

Solve the questions given in the worksheet on decimal word problems at your own space. This worksheet provides a mixture of questions on decimals involving order of operations

• ### Worksheet on Dividing Decimals | Huge Number of Decimal Division Prob

Practice the math questions given in the worksheet on dividing decimals. Divide the decimals to find the quotient, same like dividing whole numbers. This worksheet would be really good for the students to practice huge number of decimal division problems.