3/4 minus 5/8 as a fraction
3/4 - 5/8 as a fraction provides the detailed information about what is 3/4 minus 5/8 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/4-5/8 equals to
3/4 - 5/8 = (?)
3/4 - 5/8 = [(3 x 8) - (5 x 4)]/(4 x 8)
= (24 - 20)/32
= 4/32
= (4 x 1)/(4 x 8)
= 1/8
3/4 - 5/8 = 1/8
3/4 minus 5/8 is equal to 1/8
where
3/4 is a fraction as a minuend,
5/8 is a fraction as a subtrahend,
1/8 is the difference between 3/4 and 5/8.
3/4 minus 5/8 as a decimal
3/4 - 5/8 = 1/8
1/8 = 0.125
3/4-5/8 as a decimal is 0.125
where
0.125 is the difference between 3/4 and 5/8.
How-to: 3/4 - 5/8 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/4 minus 5/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/8
What to be found?
3/4-5/8 = ?
Find what's the difference between 3/4 and 5/8.
step 2 Compare the denominators of fractions 3/4 and 5/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 5/8 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 3/4 and 5/8:
The LCM of 4 and 8 is 8.
step 4 Write the fractions 3/4 and 5/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4-5/8
=(3 x 8)/(4 x 8)-(5 x 8)/(8 x 8)
step 5 Simplify the expression to have common denominator:
=6/8-5/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (6/1-5/1)
=1/8 x (6 - 5)
step 7Simplify the above expression further:
=1/8 x 1
=1/8
3/4-5/8=1/8
Hence,
3/4 minus 5/8 equals to 1/8 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/8
What to be found?
3/4-5/8 = ?
Find what's the difference between 3/4 and 5/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (3 x 8) - (5 x 4)/(4 x 8)
step 3 Simplify and rewrite the fraction:
= (24 - 20)/32
= 4/32
= 1/8
3/4-5/8 = 1/8
Hence,
3/4 minus 5/8 = 1/8
