9/8 minus 8/9 as a fraction
9/8 - 8/9 as a fraction provides the detailed information about what is 9/8 minus 8/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/8-8/9 equals to
9/8 - 8/9 = (?)
9/8 - 8/9 = [(9 x 9) - (8 x 8)]/(8 x 9)
= (81 - 64)/72
= 17/72
9/8 - 8/9 = 17/72
9/8 minus 8/9 is equal to 17/72
where
9/8 is a fraction as a minuend,
8/9 is a fraction as a subtrahend,
17/72 is the difference between 9/8 and 8/9.
9/8 minus 8/9 as a decimal
9/8 - 8/9 = 17/72
17/72 = 0.2361
9/8-8/9 as a decimal is 0.2361
where
0.2361 is the difference between 9/8 and 8/9.
How-to: 9/8 - 8/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 9/8 minus 8/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/8
Fraction B: 8/9
What to be found?
9/8-8/9 = ?
Find what's the difference between 9/8 and 8/9.
step 2 Compare the denominators of fractions 9/8 and 8/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/8 and 8/9 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 9/8 and 8/9:
The LCM of 8 and 9 is 72.
step 4 Write the fractions 9/8 and 8/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/8-8/9
=(9 x 72)/(8 x 72)-(8 x 72)/(9 x 72)
step 5 Simplify the expression to have common denominator:
=81/72-64/72
step 6 Take the common values out and rewrite the above expression like the below:
=1/72 x (81/1-64/1)
=1/72 x (81 - 64)
step 7Simplify the above expression further:
=1/72 x 17
=17/72
9/8-8/9=17/72
Hence,
9/8 minus 8/9 equals to 17/72 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: 8/9
What to be found?
9/8-8/9 = ?
Find what's the difference between 9/8 and 8/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 9), find the product of numerator of Fraction B and denominator of Fraction A (8 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:
= (9 x 9) - (8 x 8)/(8 x 9)
step 3 Simplify and rewrite the fraction:
= (81 - 64)/72
9/8-8/9 = 17/72
Hence,
9/8 minus 8/9 = 17/72
