What is 1/7 minus 7/8 in fraction?
1/7 minus 7/8 equals to -41/56 in fraction form.
Learn how to find what is 1/7 minus 7/8 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 7/8 as a fraction and decimal.
Summary: 1/7 minus 7/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/7 and 7/8 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) - (7/8 x 56/56) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -41/56.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/8 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 7/8.
1. LCM method
2. Cross multiplication method.
1/7-7/8 using LCM Method:
What is 1/7 minus 7/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 7/8
What to be found?
1/7-7/8 = ?
Find what's the difference between 1/7 and 7/8.
step 2 Compare the denominators of fractions 1/7 and 7/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 7/8 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 1/7 and 7/8:
The LCM of 7 and 8 is 56.
step 4 Write the fractions 1/7 and 7/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/7-7/8
=(1 x 56)/(7 x 56)-(7 x 56)/(8 x 56)
step 5 Simplify the expression to have common denominator:
=8/56-49/56
step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (8/1-49/1)
=1/56 x (8 - 49)
step 7Simplify the above expression further:
=1/56 x -41
=-41/56
1/7-7/8=-41/56
Hence,
1/7 minus 7/8 equals to -41/56 in fraction.
1/7-7/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 7/8
What to be found?
1/7-7/8 = ?
Find what's the difference between 1/7 and 7/8.
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 (7 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) - (7 x 7)/(7 x 8)
step 3 Simplify and rewrite the fraction:
= (8 - 49)/56
1/7-7/8 = -41/56
Hence,
1/7 minus 7/8 = -41/56