# What is 3/2 + 2/3?

getcalc.com's **two fractions addition calculator** is an online basic math function tool to find what's the equivalent fraction for sum of two fractional numbers with different, unequal or unlike denominators 3/2 and 2/3.

3/2 + 2/3 = 13/6 in fraction form

3/2 + 2/3 = 2.1667 in decimal form

This calculator, formula, step by step calculation and associated information for adding 3/2 & 2/3 may help students, teachers,
parents or professionals to learn, teach, practice or verify such two fractions addition calculations efficiently.

## How to Find Equivalent Fraction for 3/2+2/3?

The below workout with step by step calculation shows how to find the equivalent fraction between 3/2 and 2/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/2 plus 2/3 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

__Problem & Workout - LCM Method__

What is 3/2 plus 2/3 as a fraction by addition using LCM method?

step 1 Address *formula*, input parameters & values.

Input parameters & values:

3/2 & 2/3

3/2+2/3 = ?

step 2 For unequal denominators, find the LCM (least common multiple) for both denominators

The LCM for 2 and 3 is 6.

step 3 To have the common denominator, multiply the LCM with both numerator & denominator

=(3 x 6)/(2 x 6)+(2 x 6)/(3 x 6)

=9/6+4/6

=(9 + 4)/6

step 4 Add both numerator and rewrite it in a single form.

=13/6

3/2+2/3=13/6

By using LCM method, **13/6** is the equivalent fraction by adding 3/2 and 2/3.

__Problem & Workout - Cross Multiplication Method__

step 1 Address formula, input parameters & values.

Input parameters & values:

3/2 & 2/3

3/2 + 2/3 = ?

step 2 Cross multiply both numerator & denominator, multiply both denominators and rewrite as below

= (3 x 3) + (2 x 2)/(2 x 3)

step 3 Simplify & rewrite the fraction

= (9 + 4)/6

3/2+2/3 = 13/6

By using cross multiplication method, **13/6** is the addition between two fractions 3/2 and 2/3.