9/7 - 17/20 as a fraction

Learn how to find what is 9/7 minus 17/20 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 - 17/20 as a fraction and decimal.

Summary: 9/7 minus 17/20 = 61/140
Since both fractions have unequal denominators, 9/7 minus 17/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 17/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 20. 140 is the LCM of 7 and 20. Multiplying the LCM 140 with the numerators and denominators of both fractions (9/7 x 140/140) - (17/20 x 140/140), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 180/140 and for 17/20 is 119/140. By simplifying this fraction subtraction 180/140 - 119/140, it becomes 61/140.

Pie Chart Representation: 9/7 - 17/20 = 61/140

CALCULATION: 9/7 - 17/20 as a fraction
9/7 - 17/20 = (?)
9/7 - 17/20 = [(9 x 20) - (17 x 7)]/(7 x 20)
= (180 - 119)/140
= 61/140
9/7 - 17/20 = 61/140
9/7 minus 17/20 as a fraction is 61/140.

where
9/7 is a improper fraction as a minuend,
17/20 is a proper fraction as a subtrahend,
61/140 is the difference between 9/7 and 17/20.

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9/7 minus 17/20 as a decimal
9/7 - 17/20 = 61/140
61/140 = 0.4357
(9/7) - (17/20) as a decimal is 0.4357

where
0.4357 is the difference between 9/7 and 17/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/20 from 9/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/7 minus 17/20.
1. LCM method
2. Cross multiplication method.

(9/7) - (17/20) using LCM Method:
What is 9/7 minus 17/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 17/20

What to be found?
(9/7) - (17/20) = ?
Find what's the difference between 9/7 and 17/20.

step 2 Compare the denominators of fractions 9/7 and 17/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/7 and 17/20 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 9/7 and 17/20:
The LCM of 7 and 20 is 140.

step 4 Write the fractions 9/7 and 17/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 - 17/20
= [(9 x 140)/(7 x 140)] - [(17 x 140)/(20 x 140)]

step 5 Simplify the expression to have common denominator:
= 180/140 - 119/140

step 6 Take the common values out and rewrite the above expression like the below:
= 1/140 x (180/1 - 119/1)
= 1/140 x (180 - 119)

step 7Simplify the above expression further:
= 1/140 x 61
= 61/140
9/7 - 17/20 = 61/140

Hence,
9/7 minus 17/20 as a fraction is 61/140.

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9/7 - 17/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 17/20

What to be found?
(9/7)-(17/20) = ?
Find what's the difference between 9/7 and 17/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 20), find the product of numerator of Fraction B and denominator of Fraction A (17 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 20) and rewrite the equation as like the below:
= (9 x 20) - (17 x 7)/(7 x 20)

step 3 Simplify and rewrite the fraction:
= (180 - 119)/140
9/7 - 17/20 = 61/140

Hence,
9/7 minus 17/20 in fraction is 61/140