9/8 minus 1/4 as a fraction

9/8 - 1/4 as a fraction provides the detailed information about what is 9/8 minus 1/4 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/8-1/4 equals to
9/8 - 1/4 = (?)
9/8 - 1/4 = [(9 x 4) - (1 x 8)]/(8 x 4)
= (36 - 8)/32
= 28/32
= (4 x 7)/(4 x 8)
= 7/8
9/8 - 1/4 = 7/8
9/8 minus 1/4 is equal to 7/8
where
9/8 is a fraction as a minuend,
1/4 is a fraction as a subtrahend,
7/8 is the difference between 9/8 and 1/4.
9/8 minus 1/4 as a decimal
9/8 - 1/4 = 7/8
7/8 = 0.875
9/8-1/4 as a decimal is 0.875
where
0.875 is the difference between 9/8 and 1/4.
How-to: 9/8 - 1/4 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 9/8 minus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 1/4
What to be found?
9/8-1/4 = ?
Find what's the difference between 9/8 and 1/4.
step 2 Compare the denominators of fractions 9/8 and 1/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 1/4 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 1/4:
The LCM of 8 and 4 is 8.
step 4 Write the fractions 9/8 and 1/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/8-1/4
=(9 x 8)/(8 x 8)-(1 x 8)/(4 x 8)
step 5 Simplify the expression to have common denominator:
=9/8-2/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (9/1-2/1)
=1/8 x (9 - 2)
step 7Simplify the above expression further:
=1/8 x 7
=7/8
9/8-1/4=7/8
Hence,
9/8 minus 1/4 equals to 7/8 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: 1/4
What to be found?
9/8-1/4 = ?
Find what's the difference between 9/8 and 1/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (9 x 4) - (1 x 8)/(8 x 4)
step 3 Simplify and rewrite the fraction:
= (36 - 8)/32
= 28/32
= 7/8
9/8-1/4 = 7/8
Hence,
9/8 minus 1/4 = 7/8
