9/4 minus 9/8 as a fraction
9/4 - 9/8 as a fraction provides the detailed information about what is 9/4 minus 9/8 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/4-9/8 equals to
9/4 - 9/8 = (?)
9/4 - 9/8 = [(9 x 8) - (9 x 4)]/(4 x 8)
= (72 - 36)/32
= 36/32
= (4 x 9)/(4 x 8)
= 9/8
9/4 - 9/8 = 9/8
9/4 minus 9/8 is equal to 9/8
where
9/4 is a fraction as a minuend,
9/8 is a fraction as a subtrahend,
9/8 is the difference between 9/4 and 9/8.
9/4 minus 9/8 as a decimal
9/4 - 9/8 = 9/8
9/8 = 1.125
9/4-9/8 as a decimal is 1.125
where
1.125 is the difference between 9/4 and 9/8.
How-to: 9/4 - 9/8 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 9/4 minus 9/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 9/8
What to be found?
9/4-9/8 = ?
Find what's the difference between 9/4 and 9/8.
step 2 Compare the denominators of fractions 9/4 and 9/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/4 and 9/8 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 9/4 and 9/8:
The LCM of 4 and 8 is 8.
step 4 Write the fractions 9/4 and 9/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4-9/8
=(9 x 8)/(4 x 8)-(9 x 8)/(8 x 8)
step 5 Simplify the expression to have common denominator:
=18/8-9/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (18/1-9/1)
=1/8 x (18 - 9)
step 7Simplify the above expression further:
=1/8 x 9
=9/8
9/4-9/8=9/8
Hence,
9/4 minus 9/8 equals to 9/8 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 9/8
What to be found?
9/4-9/8 = ?
Find what's the difference between 9/4 and 9/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 8), find the product of numerator of Fraction B and denominator of Fraction A (9 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 8) and rewrite the equation as like the below:
= (9 x 8) - (9 x 4)/(4 x 8)
step 3 Simplify and rewrite the fraction:
= (72 - 36)/32
= 36/32
= 9/8
9/4-9/8 = 9/8
Hence,
9/4 minus 9/8 = 9/8
