Calculate 5/6+2/3
Add, subtract, multiply, or divide fractions and mixed numbers with step-by-step solutions.
5/6 + 2/3
The denominators are different (6 and 3). Find the Least Common Denominator:
LCD(6, 3) = 6
Rewrite each fraction with denominator 6:
= 5/6 + (2×2)/(3×2)
= 5/6 + 4/6
Now the denominators match. Add the numerators:
= (5 + 4)/6
= 9/6
The GCD of 9 and 6 is 3. Divide both numerator and denominator by 3:
= (9÷3)/(6÷3)
= 3/2
= 3/2 (= 1.5 as a decimal)
How to calculate 5/6+2/3
To calculate 5/6+2/3, find the least common denominator (LCD), rewrite each fraction with that denominator, perform the operation on the numerators, and simplify the result to lowest terms.
This is a fraction arithmetic problem — we perform operations on fractions by finding common denominators for addition/subtraction, or multiplying straight across for multiplication/division.
Frequently asked questions
What is the answer to 5/6+2/3?
The answer is 3/2.
What method is used?
finding the LCD, rewriting fractions with that denominator, performing the operation on numerators, and simplifying the result.