9/10 minus 8/9 as a fraction
9/10 - 8/9 as a fraction provides the detailed information about what is 9/10 minus 8/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
9/10-8/9 equals to
9/10 - 8/9 = (?)
9/10 - 8/9 = [(9 x 9) - (8 x 10)]/(10 x 9)
= (81 - 80)/90
= 1/90
9/10 - 8/9 = 1/90
9/10 minus 8/9 is equal to 1/90
where
9/10 is a fraction as a minuend,
8/9 is a fraction as a subtrahend,
1/90 is the difference between 9/10 and 8/9.
9/10 minus 8/9 as a decimal
9/10 - 8/9 = 1/90
1/90 = 0.0111
9/10-8/9 as a decimal is 0.0111
where
0.0111 is the difference between 9/10 and 8/9.
How-to: 9/10 - 8/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 9/10 minus 8/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 8/9
What to be found?
9/10-8/9 = ?
Find what's the difference between 9/10 and 8/9.
step 2 Compare the denominators of fractions 9/10 and 8/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/10 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 9/10 and 8/9:
The LCM of 10 and 9 is 90.
step 4 Write the fractions 9/10 and 8/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/10-8/9
=(9 x 90)/(10 x 90)-(8 x 90)/(9 x 90)
step 5 Simplify the expression to have common denominator:
=81/90-80/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (81/1-80/1)
=1/90 x (81 - 80)
step 7Simplify the above expression further:
=1/90 x 1
=1/90
9/10-8/9=1/90
Hence,
9/10 minus 8/9 equals to 1/90 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/10
Fraction B: 8/9
What to be found?
9/10-8/9 = ?
Find what's the difference between 9/10 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 10), and find the product of both denominators of Fraction A and Fraction B (10 x 9) and rewrite the equation as like the below:
= (9 x 9) - (8 x 10)/(10 x 9)
step 3 Simplify and rewrite the fraction:
= (81 - 80)/90
9/10-8/9 = 1/90
Hence,
9/10 minus 8/9 = 1/90
