What is 5/7 plus 5/12 in fraction?
5/7 plus 5/12 equals to 95/84 in fraction form.
Learn how to find what is 5/7 plus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 + 5/12 as a fraction and decimal.
Summary: 5/7 plus 5/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/7 and 5/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 84 is the LCM of 7 and 12. Multiply the LCM 84 with all the numerators and denominators of both fractions (5/7 x 84/84) + (5/12 x 84/84) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 95/84.
The below workout with step by step calculation shows how to find the equivalent fraction between 5/7 and 5/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/7 plus 5/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
5/7+5/12 using LCM Method:
What is 5/7 plus 5/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 5/12
What to be found?
5/7+5/12 = ?
Find what's the sum of 5/7 and 5/12.
step 2 Compare the denominators of fractions 5/7 and 5/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/7 and 5/12 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 5/7 and 5/12:
The LCM of 7 and 12 is 84.
step 4 Write the fractions 5/7 and 5/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/7+5/12
=(5 x 84)/(7 x 84)+(5 x 84)/(12 x 84)
step 5 Simplify the expression to have common denominator:
=60/84+35/84
step 6 Take the common values out and rewrite the above expression like the below:
=1/84 x (60/1+35/1)
=1/84 x (60 + 35)
step 7Simplify the above expression further:
=1/84 x 95
=95/84
5/7+5/12=95/84
Hence,
5/7 plus 5/12 equals to 95/84 in fraction.
5/7+5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 5/12
What to be found?
5/7+5/12 = ?
Find what's the sum of 5/7 and 5/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 12) and rewrite the equation as like the below:
= (5 x 12) + (5 x 7)/(7 x 12)
step 3 Simplify and rewrite the fraction:
= (60 + 35)/84
5/7+5/12 = 95/84
Hence,
5/7 plus 5/12 = 95/84