Conversion of Mixed Fractions into Improper Fractions
To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the proper fraction and then to the product add the numerator of the fraction to get the numerator of the improper fraction. Its denominator is the same as the denominator of the fractional part i.e.,
In conversion of mixed fractions into improper fractions, we may follow the following steps:
Step I: Obtain the mixed fraction.
Step II: Identify the whole number and the numerator (top) and denominator (bottom) of the proper fraction.
Step III: Multiply the whole number by the denominator of the proper fraction and add the result to the numerator of the proper fraction.
Step IV: Write the fraction having numerator equal to the number obtained in step III and denominator same as the denominator of the fraction in step II. Thus,
Conversion of Mixed Fractions into Improper Fractions Video
Subscribe to our YouTube channelfor the latest videos, updates, and tips.
For Example:
1. Convert 356 into an improper fraction:
Solution:
356 = 3×6+56 = 18+56 = 236
2. Express each of the following mixed fractions as improper fractions:
We can also convert a mixed number into an improper fraction as follows.
First multiply the whole number by denominator. Here (8 × 7) + 4 = 60. Now, put the sum as the numerator of the required improper fraction and the denominator remains the same.
847 = (8×7)+47 = 56+47 = 607
Thus, 847 = 607
(ii) 327
= (3×7)+27
= 21+27
= 237
(iii) 459
= (4×9)+59
= 36+59
= 419
(iv) 325
= (3×5)+25
= 15+25
= 175
(v) 714
= (7×4)+14
= 28+14
= 294
Conversion of a Mixed Fraction into an Improper Fraction:
3. Let us convert 545 into an improper fraction.
Step I: Multiply the whole number 5 by the denominator 5. [5 × 5 = 25]
Step II: Add the numerator to it. [25 + 4 = 29]
Step III: This gives the numerator of the improper fraction. [297]
Denominator will remain the same. So. 545 = 297
Worksheet on Conversion of Mixed Fractions into Improper Fractions:
To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term. Consider the following example: (i) 20% [We know % = 1/100]
The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator). Two parts are shaded in the above diagram.
In 5th Grade Fractions we will discuss about definition of fraction, concept of fractions and different types of examples on fractions. A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
In conversion of improper fractions into mixed fractions, we follow the following steps: Step I: Obtain the improper fraction. Step II: Divide the numerator by the denominator and obtain the quotient and remainder. Step III: Write the mixed fraction
The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with respect to the whole shape in the figures from (i) to (viii) In; (i) Shaded
To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numerators of the fractions.
Any two like fractions can be compared by comparing their numerators. The fraction with larger numerator is greater than the fraction with smaller numerator, for example 713 > 213 because 7 > 2. In comparison of like fractions here are some
In comparison of fractions having the same numerator the following rectangular figures having the same lengths are divided in different parts to show different denominators. 3/10 < 3/5 < 3/4 or 3/4 > 3/5 > 3/10 In the fractions having the same numerator, that fraction is
In worksheet on comparison of like fractions, all grade students can practice the questions on comparison of like fractions. This exercise sheet on comparison of like fractions can be practiced
Like and unlike fractions are the two groups of fractions: (i) 1/5, 3/5, 2/5, 4/5, 6/5 (ii) 3/4, 5/6, 1/3, 4/7, 9/9 In group (i) the denominator of each fraction is 5, i.e., the denominators of the fractions are equal. The fractions with the same denominators are called
Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One part is shaded, i.e., one-fourth of the shape is shaded and three
Representation of a fraction is discussed here. In a simple fraction, there is a horizontal line. Above this line we write a number which is called the numerator. Below this line we write another number which is called the denominator.
In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced
In representations of fractions on a number line we can show fractions on a number line. In order to represent 1/2 on the number line, draw the number line and mark a point A to represent 1.
In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…
Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…
We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add
We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…
A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.