Subscribe to our YouTube channel for the latest videos, updates, and tips.


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




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.



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.




Share this page: What’s this?

Recent Articles

  1. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More