7/8 minus 7/12 as a fraction
7/8 - 7/12 as a fraction provides the detailed information about what is 7/8 minus 7/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/8-7/12 equals to
7/8 - 7/12 = (?)
7/8 - 7/12 = [(7 x 12) - (7 x 8)]/(8 x 12)
= (84 - 56)/96
= 28/96
= (4 x 7)/(4 x 24)
= 7/24
7/8 - 7/12 = 7/24
7/8 minus 7/12 is equal to 7/24
where
7/8 is a fraction as a minuend,
7/12 is a fraction as a subtrahend,
7/24 is the difference between 7/8 and 7/12.
7/8 minus 7/12 as a decimal
7/8 - 7/12 = 7/24
7/24 = 0.2917
7/8-7/12 as a decimal is 0.2917
where
0.2917 is the difference between 7/8 and 7/12.
How-to: 7/8 - 7/12 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/8 minus 7/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 7/12
What to be found?
7/8-7/12 = ?
Find what's the difference between 7/8 and 7/12.
step 2 Compare the denominators of fractions 7/8 and 7/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 7/12 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 7/8 and 7/12:
The LCM of 8 and 12 is 24.
step 4 Write the fractions 7/8 and 7/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8-7/12
=(7 x 24)/(8 x 24)-(7 x 24)/(12 x 24)
step 5 Simplify the expression to have common denominator:
=21/24-14/24
step 6 Take the common values out and rewrite the above expression like the below:
=1/24 x (21/1-14/1)
=1/24 x (21 - 14)
step 7Simplify the above expression further:
=1/24 x 7
=7/24
7/8-7/12=7/24
Hence,
7/8 minus 7/12 equals to 7/24 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 7/12
What to be found?
7/8-7/12 = ?
Find what's the difference between 7/8 and 7/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 12), find the product of numerator of Fraction B and denominator of Fraction A (7 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:
= (7 x 12) - (7 x 8)/(8 x 12)
step 3 Simplify and rewrite the fraction:
= (84 - 56)/96
= 28/96
= 7/24
7/8-7/12 = 7/24
Hence,
7/8 minus 7/12 = 7/24
