What is 5/6 minus 6/7 in fraction?
5/6 minus 6/7 equals to -1/42 in fraction form.
Learn how to find what is 5/6 minus 6/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/6 - 6/7 as a fraction and decimal.
Summary: 5/6 minus 6/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/6 and 6/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 6 and 7. Multiply the LCM 42 with all the numerators and denominators of both fractions (5/6 x 42/42) - (6/7 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/42.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/7 from 5/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/6 minus 6/7.
1. LCM method
2. Cross multiplication method.
5/6-6/7 using LCM Method:
What is 5/6 minus 6/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 6/7
What to be found?
5/6-6/7 = ?
Find what's the difference between 5/6 and 6/7.
step 2 Compare the denominators of fractions 5/6 and 6/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 6/7 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 5/6 and 6/7:
The LCM of 6 and 7 is 42.
step 4 Write the fractions 5/6 and 6/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6-6/7
=(5 x 42)/(6 x 42)-(6 x 42)/(7 x 42)
step 5 Simplify the expression to have common denominator:
=35/42-36/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (35/1-36/1)
=1/42 x (35 - 36)
step 7Simplify the above expression further:
=1/42 x -1
=-1/42
5/6-6/7=-1/42
Hence,
5/6 minus 6/7 equals to -1/42 in fraction.
5/6-6/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 6/7
What to be found?
5/6-6/7 = ?
Find what's the difference between 5/6 and 6/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (6 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (5 x 7) - (6 x 6)/(6 x 7)
step 3 Simplify and rewrite the fraction:
= (35 - 36)/42
5/6-6/7 = -1/42
Hence,
5/6 minus 6/7 = -1/42