What is 9/8 minus 5/12 in fraction?
9/8 minus 5/12 equals to 17/24 in fraction form.
Learn how to find what is 9/8 minus 5/12 in fraction form just in a few minutes. We have covered the easiest method to write 9/8 - 5/12 as a fraction and decimal.
Summary: 9/8 minus 5/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/8 and 5/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 24 is the LCM of 8 and 12. Multiply the LCM 24 with all the numerators and denominators of both fractions (9/8 x 24/24) - (5/12 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 5/12 from 9/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/8 minus 5/12.
1. LCM method
2. Cross multiplication method.
9/8-5/12 using LCM Method:
What is 9/8 minus 5/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/12
What to be found?
9/8-5/12 = ?
Find what's the difference between 9/8 and 5/12.
step 2 Compare the denominators of fractions 9/8 and 5/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 5/12 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 9/8 and 5/12:
The LCM of 8 and 12 is 24.
step 4 Write the fractions 9/8 and 5/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/8-5/12
=(9 x 24)/(8 x 24)-(5 x 24)/(12 x 24)
step 5 Simplify the expression to have common denominator:
=27/24-10/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (27/1-10/1)
=1/24 x (27 - 10)
step 7Simplify the above expression further:
=1/24 x 17
=17/24
9/8-5/12=17/24
Hence,
9/8 minus 5/12 equals to 17/24 in fraction.
9/8-5/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 5/12
What to be found?
9/8-5/12 = ?
Find what's the difference between 9/8 and 5/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 12), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 12) and rewrite the equation as like the below:
= (9 x 12) - (5 x 8)/(8 x 12)
step 3 Simplify and rewrite the fraction:
= (108 - 40)/96
= 68/96
= 17/24
9/8-5/12 = 17/24
Hence,
9/8 minus 5/12 = 17/24