5/8 minus 5/9 as a fraction

5/8 - 5/9 as a fraction provides the detailed information about what is 5/8 minus 5/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
5/8-5/9 equals to
5/8 - 5/9 = (?)
5/8 - 5/9 = [(5 x 9) - (5 x 8)]/(8 x 9)
= (45 - 40)/72
= 5/72
5/8 - 5/9 = 5/72
5/8 minus 5/9 is equal to 5/72
where
5/8 is a fraction as a minuend,
5/9 is a fraction as a subtrahend,
5/72 is the difference between 5/8 and 5/9.
5/8 minus 5/9 as a decimal
5/8 - 5/9 = 5/72
5/72 = 0.0694
5/8-5/9 as a decimal is 0.0694
where
0.0694 is the difference between 5/8 and 5/9.
How-to: 5/8 - 5/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 5/8 minus 5/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/8
Fraction B: 5/9
What to be found?
5/8-5/9 = ?
Find what's the difference between 5/8 and 5/9.
step 2 Compare the denominators of fractions 5/8 and 5/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/8 and 5/9 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 5/9:
The LCM of 8 and 9 is 72.
step 4 Write the fractions 5/8 and 5/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/8-5/9
=(5 x 72)/(8 x 72)-(5 x 72)/(9 x 72)
step 5 Simplify the expression to have common denominator:
=45/72-40/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (45/1-40/1)
=1/72 x (45 - 40)
step 7Simplify the above expression further:
=1/72 x 5
=5/72
5/8-5/9=5/72
Hence,
5/8 minus 5/9 equals to 5/72 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: 5/9
What to be found?
5/8-5/9 = ?
Find what's the difference between 5/8 and 5/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 9) and rewrite the equation as like the below:
= (5 x 9) - (5 x 8)/(8 x 9)
step 3 Simplify and rewrite the fraction:
= (45 - 40)/72
5/8-5/9 = 5/72
Hence,
5/8 minus 5/9 = 5/72
