Fractions Calculator

A free online calculator called Fractions Calculator shows the mathematical operations performed on a fractional number. Kiodigital’s online fractions calculator application speeds up calculations and shows results almost instantly.

Steps to Use the Fractions Calculator

The steps to use the fractions calculator is:

Step 1: Enter the fractions

Step 2: Click the “Calculate” button

Step 3: The resultant fraction will be displayed

Fraction

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. 

Addition:

Adding and subtracting fraction, unlike integers, requires a way longer process. Fractions require a common denominator to undergo addition. The equations provided underneath account for this, which denotes multiplying the numerators and denominators of all of the fractions involved in the addition by the denominators of each fraction.

(a/b) + (c/d) = ((a/b × (d/d)) + ((c/d × (b/b)) = (ad + bc)/bd

Subtraction:

Subtraction of fractions is more or less the same as addition of fraction. A common denominator is required for the subtraction of fractions to occur. The equations provided underneath account for this, which denotes multiplying the numerators and denominators of all of the fractions involved in the subtraction by the denominators of each fraction.

(a/b) – (c/d) = ((a/b × (d/d)) – ((c/d × (b/b)) = (ad – bc)/bd

Multiplication:

Multiplying fractions is direct. You don’t need a common denominator in order to multiply fractions. The numerators and denominators of each fraction are multiplied, and we get the new numerator and denominator.

(a/b) × (c/d) = (ac/bd)

Division:

The process for dividing fractions is more or less the same as that of multiplying fractions. Here, you multiply one fraction with the multiplicative inverse of the other. The numerators and denominators of one fraction is multiplied by the reciprocal of the other, and we get the new numerator and denominator.

(a/b) ÷ (c/d) = (a/b) × (d/c) = (ad/bc)

Solved Examples on Fractions

Question 1:

Find the sum of the fraction: (4/3) + (4/2).

Solution:

Given: (4/3) + (4/2)

We know that (a/b) + (c/d) = (ad + bc)/bd

Hence, (4/3) + (4/2) = [4(2) + 4(3)] / [3(2)]

(4/3) + (4/2) = (8 + 12)/6

(4/3) + (4/2) = 20/6

(4/3) + (4/2) = 10/3.

Question 2:

Multiply the fractions: (5/3) × (2/5).

Solution:

Given fractions: (5/3) × (2/5).

(5/3) × (2/5) = (5×2)/(3×5)

(5/3) × (2/5) = 10/15

(5/3) × (2/5) = = 2/3.

Frequently Asked Questions on Fractions Calculator