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