What is 1/8 - 3/7 in fraction?
1/8 - 3/7 equals to -17/56 in fraction form.
Learn how to find what is 1/8 minus 3/7 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 - 3/7 as a fraction and decimal.
Summary: 1/8 minus 3/7 = -17/56
Since both fractions have unequal denominators, 1/8 minus 3/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 3/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 7. 56 is the LCM of 8 and 7. Multiplying the LCM 56 with the numerators and denominators of both fractions (1/8 x 56/56) - (3/7 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 7/56 and for 3/7 is 24/56. By simplifying this fraction subtraction 7/56 - 24/56, it becomes -17/56.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/7 from 1/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/8 minus 3/7.
1. LCM method
2. Cross multiplication method.
(1/8) - (3/7) using LCM Method:
What is 1/8 minus 3/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 3/7
What to be found?
(1/8) - (3/7) = ?
Find what's the difference between 1/8 and 3/7.
step 2 Compare the denominators of fractions 1/8 and 3/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/8 and 3/7 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 1/8 and 3/7:
The LCM of 8 and 7 is 56.
step 4 Write the fractions 1/8 and 3/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 - 3/7
= [(1 x 56)/(8 x 56)] - [(3 x 56)/(7 x 56)]
step 5 Simplify the expression to have common denominator:
= 7/56 - 24/56
step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (7/1 - 24/1)
= 1/56 x (7 - 24)
step 7Simplify the above expression further:
= 1/56 x -17
= -17/56
1/8 - 3/7 = -17/56
Hence,
1/8 minus 3/7 as a fraction is -17/56.
1/8 - 3/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 3/7
What to be found?
(1/8)-(3/7) = ?
Find what's the difference between 1/8 and 3/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (1 x 7) - (3 x 8)/(8 x 7)
step 3 Simplify and rewrite the fraction:
= (7 - 24)/56
1/8 - 3/7 = -17/56
Hence,
1/8 minus 3/7 in fraction is -17/56