Fractions Addition Calculator
getcalc.com's Fractions Addition calculator is an online Algebra calculator to find the sum of two unlike fractions or sum of like fractions. The calculator automatically determines the least common denominator (LCD) using the least common multiple (LCM), converts the fractions into equivalent fractions when necessary, performs the addition, and simplifies the final answer to its lowest terms.
Tips for Adding Fractions
1. Always check whether denominators are the same.
2. Use the Least Common Multiple (LCM) for unlike denominators.
3. Convert mixed numbers into improper fractions before adding.
4. Simplify the final fraction whenever possible.
5. Convert improper fractions back into mixed numbers if required.
How to Add Unlike Fractions?
This step-by-step solution for adding two unlike fractions or fractions with different denominators using easiest method helps to easily understand how to perform unlike fractions addition.
Problem and Workout
Find the sum of unlike fractions 5/6 and 3/4
step 1 Address formula and input values.
Given fractions: 5/6 and 3/4
Find: 5/6 plus 3/4 = ?
5/6 + 3/4 = ?
step 2 For unequal denominators, find the Least Common Multiple for both denominators.
The LCM of 6 and 4 is 12.
step 3 To have common denominator, multiply LCM 12 with both numerators and denominators.
=(5 x 12)/(6 x 12)+(3 x 12)/(4 x 12)
=10/12+9/12
=(10 + 9)/12
step 4 Add both numerator and rewrite it in a single form.
5/6+3/4=19/12
19/12 is the sum of two unlike fractions 5/6 and 3/4.
How to Add Like Fractions?
Problem and Workout
Find the sum of like fractions 3/7 and 5/7
step 1 Address formula and input values.
Given fractions: 3/7 and 5/7
Find: 3/7 plus 5/7 = ?
3/7 + 5/7 = ?
step 2 For same denominators, add numerators directly and rewrite as below
= 3/7 + 5/7
= (3 + 5)/7
3/7 + 5/7 = 8/7
8/7 is the sum of two like fractions 3/7 and 5/7.
Fractions Addition and Formula
Fraction Addition is a basic arithmetic operation which combines two or more fractions. For like, same or common denominator, the fraction addition is the sum of both numerators divided by the common denominator. For unlike, unequal or different denominators, the function LCM (least common multiple) is used to convert the fractions to have the common denominators to perform addition between the fractions.
