5/8 minus 3/7 as a fraction

5/8 - 3/7 as a fraction provides the detailed information about what is 5/8 minus 3/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
5/8-3/7 equals to
5/8 - 3/7 = (?)
5/8 - 3/7 = [(5 x 7) - (3 x 8)]/(8 x 7)
= (35 - 24)/56
= 11/56
5/8 - 3/7 = 11/56
5/8 minus 3/7 is equal to 11/56
where
5/8 is a fraction as a minuend,
3/7 is a fraction as a subtrahend,
11/56 is the difference between 5/8 and 3/7.
5/8 minus 3/7 as a decimal
5/8 - 3/7 = 11/56
11/56 = 0.1964
5/8-3/7 as a decimal is 0.1964
where
0.1964 is the difference between 5/8 and 3/7.
How-to: 5/8 - 3/7 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 5/8 minus 3/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/7
What to be found?
5/8-3/7 = ?
Find what's the difference between 5/8 and 3/7.
step 2 Compare the denominators of fractions 5/8 and 3/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 3/7 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 5/8 and 3/7:
The LCM of 8 and 7 is 56.
step 4 Write the fractions 5/8 and 3/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8-3/7
=(5 x 56)/(8 x 56)-(3 x 56)/(7 x 56)
step 5 Simplify the expression to have common denominator:
=35/56-24/56
step 6 Take the common values out and rewrite the above expression like the below:
=1/56 x (35/1-24/1)
=1/56 x (35 - 24)
step 7Simplify the above expression further:
=1/56 x 11
=11/56
5/8-3/7=11/56
Hence,
5/8 minus 3/7 equals to 11/56 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 3/7
What to be found?
5/8-3/7 = ?
Find what's the difference between 5/8 and 3/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 7) and rewrite the equation as like the below:
= (5 x 7) - (3 x 8)/(8 x 7)
step 3 Simplify and rewrite the fraction:
= (35 - 24)/56
5/8-3/7 = 11/56
Hence,
5/8 minus 3/7 = 11/56
