9/8 minus 5/12 as a fraction
9/8 - 5/12 as a fraction provides the detailed information about what is 9/8 minus 5/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/8-5/12 equals to
9/8 - 5/12 = (?)
9/8 - 5/12 = [(9 x 12) - (5 x 8)]/(8 x 12)
= (108 - 40)/96
= 68/96
= (4 x 17)/(4 x 24)
= 17/24
9/8 - 5/12 = 17/24
9/8 minus 5/12 is equal to 17/24
where
9/8 is a fraction as a minuend,
5/12 is a fraction as a subtrahend,
17/24 is the difference between 9/8 and 5/12.
9/8 minus 5/12 as a decimal
9/8 - 5/12 = 17/24
17/24 = 0.7083
9/8-5/12 as a decimal is 0.7083
where
0.7083 is the difference between 9/8 and 5/12.
How-to: 9/8 - 5/12 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - 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.
Problem and Workout - 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
