What is 5/9 minus 6/8 in fraction?
5/9 minus 6/8 equals to -7/36 in fraction form.
Learn how to find what is 5/9 minus 6/8 in fraction form just in a few minutes. We have covered the easiest method to write 5/9 - 6/8 as a fraction and decimal.
Summary: 5/9 minus 6/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/9 and 6/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 72 is the LCM of 9 and 8. Multiply the LCM 72 with all the numerators and denominators of both fractions (5/9 x 72/72) - (6/8 x 72/72) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -14/72.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 6/8 from 5/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/9 minus 6/8.
1. LCM method
2. Cross multiplication method.
5/9-6/8 using LCM Method:
What is 5/9 minus 6/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 6/8
What to be found?
5/9-6/8 = ?
Find what's the difference between 5/9 and 6/8.
step 2 Compare the denominators of fractions 5/9 and 6/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/9 and 6/8 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 5/9 and 6/8:
The LCM of 9 and 8 is 72.
step 4 Write the fractions 5/9 and 6/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/9-6/8
=(5 x 72)/(9 x 72)-(6 x 72)/(8 x 72)
step 5 Simplify the expression to have common denominator:
=40/72-54/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (40/1-54/1)
=1/72 x (40 - 54)
step 7Simplify the above expression further:
=1/72 x -14
= -14/72
=-7/36
5/9-6/8=-7/36
Hence,
5/9 minus 6/8 equals to -7/36 in fraction.
5/9-6/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/9
Fraction B: 6/8
What to be found?
5/9-6/8 = ?
Find what's the difference between 5/9 and 6/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 8), find the product of numerator of Fraction B and denominator of Fraction A (6 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 8) and rewrite the equation as like the below:
= (5 x 8) - (6 x 9)/(9 x 8)
step 3 Simplify and rewrite the fraction:
= (40 - 54)/72
= -14/72
= -7/36
5/9-6/8 = -7/36
Hence,
5/9 minus 6/8 = -7/36