What is 1/7 plus 1/8 in fraction?
1/7 plus 1/8 equals to 15/56 in fraction form.
Learn how to find what is 1/7 plus 1/8 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 1/8 as a fraction and decimal.
Summary: 1/7 plus 1/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 1/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 56 is the LCM of 7 and 8. Multiply the LCM 56 with all the numerators and denominators of both fractions (1/7 x 56/56) + (1/8 x 56/56) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 15/56.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 1/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 1/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/7+1/8 using LCM Method:
What is 1/7 plus 1/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/8
What to be found?
1/7+1/8 = ?
Find what's the sum of 1/7 and 1/8.
step 2 Compare the denominators of fractions 1/7 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 1/8 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 1/7 and 1/8:
The LCM of 7 and 8 is 56.
step 4 Write the fractions 1/7 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7+1/8
=(1 x 56)/(7 x 56)+(1 x 56)/(8 x 56)
step 5 Simplify the expression to have common denominator:
=8/56+7/56
step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (8/1+7/1)
=1/56 x (8 + 7)
step 7Simplify the above expression further:
=1/56 x 15
=15/56
1/7+1/8=15/56
Hence,
1/7 plus 1/8 equals to 15/56 in fraction.
1/7+1/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 1/8
What to be found?
1/7+1/8 = ?
Find what's the sum of 1/7 and 1/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 8) and rewrite the equation as like the below:
= (1 x 8) + (1 x 7)/(7 x 8)
step 3 Simplify and rewrite the fraction:
= (8 + 7)/56
1/7+1/8 = 15/56
Hence,
1/7 plus 1/8 = 15/56