What is 10/9 minus 8/10 in fraction?
10/9 minus 8/10 equals to 14/45 in fraction form.
Learn how to find what is 10/9 minus 8/10 in fraction form just in a few minutes. We have covered the easiest method to write 10/9 - 8/10 as a fraction and decimal.
Summary: 10/9 minus 8/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 10/9 and 8/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 90 is the LCM of 9 and 10. Multiply the LCM 90 with all the numerators and denominators of both fractions (10/9 x 90/90) - (8/10 x 90/90) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 28/90.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 8/10 from 10/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/9 minus 8/10.
1. LCM method
2. Cross multiplication method.
10/9-8/10 using LCM Method:
What is 10/9 minus 8/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 8/10
What to be found?
10/9-8/10 = ?
Find what's the difference between 10/9 and 8/10.
step 2 Compare the denominators of fractions 10/9 and 8/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/9 and 8/10 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 10/9 and 8/10:
The LCM of 9 and 10 is 90.
step 4 Write the fractions 10/9 and 8/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=10/9-8/10
=(10 x 90)/(9 x 90)-(8 x 90)/(10 x 90)
step 5 Simplify the expression to have common denominator:
=100/90-72/90
step 6 Take the common values out and rewrite the above expression like the below:
=1/90 x (100/1-72/1)
=1/90 x (100 - 72)
step 7Simplify the above expression further:
=1/90 x 28
= 28/90
=14/45
10/9-8/10=14/45
Hence,
10/9 minus 8/10 equals to 14/45 in fraction.
10/9-8/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/9
Fraction B: 8/10
What to be found?
10/9-8/10 = ?
Find what's the difference between 10/9 and 8/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 10), find the product of numerator of Fraction B and denominator of Fraction A (8 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 10) and rewrite the equation as like the below:
= (10 x 10) - (8 x 9)/(9 x 10)
step 3 Simplify and rewrite the fraction:
= (100 - 72)/90
= 28/90
= 14/45
10/9-8/10 = 14/45
Hence,
10/9 minus 8/10 = 14/45