What is 7/8 + 1/17 in fraction?
7/8 + 1/17 equals to 127/136 in fraction form.
Learn how to find what is 7/8 plus 1/17 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 1/17 as a fraction and decimal.
Summary: 7/8 plus 1/17 = 127/136
Since both fractions have unequal denominators, 7/8 plus 1/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 1/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (7/8 x 136/136) + (1/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 119/136 and for 1/17 is 8/136. By simplifying this fraction addition 119/136 + 8/136, it becomes 127/136.
Pie Chart Representation: 7/8 + 1/17 = 127/136
The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 1/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 1/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(7/8) + (1/17) using LCM Method:
What is 7/8 plus 1/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/17
What to be found?
(7/8) + (1/17) = ?
Find what's the sum of 7/8 and 1/17.
step 2 Compare the denominators of fractions 7/8 and 1/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 1/17 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 7/8 and 1/17:
The LCM of 8 and 17 is 136.
step 4 Write the fractions 7/8 and 1/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 1/17
= [(7 x 136)/(8 x 136)] + [(1 x 136)/(17 x 136)]
step 5 Simplify the expression to have common denominator:
= 119/136 + 8/136
step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (119/1 + 8/1)
= 1/136 x (119 + 8)
step 7Simplify the above expression further:
= 1/136 x 127
= 127/136
7/8 + 1/17 = 127/136
Hence,
7/8 plus 1/17 as a fraction is 127/136.
7/8 + 1/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/17
What to be found?
(7/8)+(1/17) = ?
Find what's the sum of 7/8 and 1/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 17), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 17) and rewrite the equation as like the below:
= (7 x 17) + (1 x 8)/(8 x 17)
step 3 Simplify and rewrite the fraction:
= (119 + 8)/136
7/8 + 1/17 = 127/136
Hence,
7/8 plus 1/17 in fraction is 127/136