Fractions in Lowest Terms

Fractions in lowest terms are discussed in the following steps in order to reduce a fraction.

In order to reduce a fraction to its lowest terms the following steps are:



Step I: Find the HCF (highest common factor) of the numerator (top number) and denominator (bottom number).




Step II: Divide both the numerator and denominator by HCF (highest common factor) obtained in step I to get the equivalent fraction in the lowest terms or in the simplest form.

For Example:

1. Reduce each of the following fractions in lowest term:

(i) ¹⁵/₃₅

The factors of 15 are 1, 3, 5 and 15.

The factors of 35 are 1, 5, 7 and 35.

The common factors of 15 and 35 are 1 and 5.

Therefore, HCF (highest common factor) of 15 and 35 is 5.

Now, 15/35 = (15 ÷ 5)/(35 ÷ 5) 

[Dividing numerator and denominator by the HCF (highest common factor) of 15 and 35 is 5].

= ³/₇.



(ii) ⁴⁸/₆₀

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 24 and 48.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

The common factors of 48 and 60 are 1, 2, 3, 4, 6 and 12.

Therefore, HCF (highest common factor) of 48 and 60 is 12.

Now, 48/60 = (48 ÷ 12)/(60 ÷ 12) 

[Dividing numerator and denominator by the HCF (highest common factor) of 48 and 60 is 12].

= ⁴/₅.



(iii) ¹²⁶/₉₀

Let us first compute the HCF (highest common factor) of 126 and 90.

Fractions in Lowest Terms


Therefore, HCF (highest common factor) of 126 and 90 is 2 × 3 × 3 = 18.

Now, 126/90 = (126 ÷ 18)/(90 ÷ 18)

[Dividing numerator and denominator by the HCF (highest common factor) of 126 and 90 is 18].

= ⁷/₅



2. Is ¹⁶⁹/₂₈₉ in its simplest form?

We know that a fraction is in lowest term or in simplest form, if the HCF (highest common factor) of numerator (top number) and denominator (bottom number) is 1.

Here, the HCF (highest common factor) of 169 and 289 is 1.

Hence, the fraction 169/289 is in its simplest form.


● Fraction

Representations of Fractions on a Number Line

Fraction as Division

Types of Fractions

Conversion of Mixed Fractions into Improper Fractions

Conversion of Improper Fractions into Mixed Fractions

Equivalent Fractions

Interesting Fact about Equivalent Fractions

Fractions in Lowest Terms

Like and Unlike Fractions

Comparing Like Fractions

Comparing Unlike Fractions

Addition and Subtraction of Like Fractions

Addition and Subtraction of Unlike Fractions

Inserting a Fraction between Two Given Fractions








Numbers Page

6th Grade Page

From Fractions in Lowest Terms to HOME PAGE


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.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

    Feb 22, 24 04:21 PM

    List of Roman Numerals Chart
    How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

    Read More

  2. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

    Feb 22, 24 04:15 PM

    Roman Numbers Table
    Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

    Read More

  3. Roman Symbols | What are Roman Numbers? | Roman Numeration System

    Feb 22, 24 02:30 PM

    Roman Numbers
    Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

    Read More

  4. Place Value | Place, Place Value and Face Value | Grouping the Digits

    Feb 19, 24 11:57 PM

    Place-value of a Digit
    The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th…

    Read More

  5. Math Questions Answers | Solved Math Questions and Answers | Free Math

    Feb 19, 24 11:14 PM

    Math Questions Answers
    In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students

    Read More