What is 7/8 minus 1/6 in fraction?
7/8 minus 1/6 equals to 17/24 in fraction form.
Learn how to find what is 7/8 minus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 - 1/6 as a fraction and decimal.
Summary: 7/8 minus 1/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/8 and 1/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 24 is the LCM of 8 and 6. Multiply the LCM 24 with all the numerators and denominators of both fractions (7/8 x 24/24) - (1/6 x 24/24) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 17/24.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/6 from 7/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/8 minus 1/6.
1. LCM method
2. Cross multiplication method.
7/8-1/6 using LCM Method:
What is 7/8 minus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/6
What to be found?
7/8-1/6 = ?
Find what's the difference between 7/8 and 1/6.
step 2 Compare the denominators of fractions 7/8 and 1/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 1/6 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 7/8 and 1/6:
The LCM of 8 and 6 is 24.
step 4 Write the fractions 7/8 and 1/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8-1/6
=(7 x 24)/(8 x 24)-(1 x 24)/(6 x 24)
step 5 Simplify the expression to have common denominator:
=21/24-4/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (21/1-4/1)
=1/24 x (21 - 4)
step 7Simplify the above expression further:
=1/24 x 17
=17/24
7/8-1/6=17/24
Hence,
7/8 minus 1/6 equals to 17/24 in fraction.
7/8-1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/6
What to be found?
7/8-1/6 = ?
Find what's the difference between 7/8 and 1/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 6), 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 6) and rewrite the equation as like the below:
= (7 x 6) - (1 x 8)/(8 x 6)
step 3 Simplify and rewrite the fraction:
= (42 - 8)/48
= 34/48
= 17/24
7/8-1/6 = 17/24
Hence,
7/8 minus 1/6 = 17/24