9/7 - 17/10 as a fraction

Learn how to find what is 9/7 minus 17/10 in fraction form just in a few minutes. We have covered the easiest method to write 9/7 - 17/10 as a fraction and decimal.

Summary: 9/7 minus 17/10 = -29/70
Since both fractions have unequal denominators, 9/7 minus 17/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/7 and fraction 17/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 10. 70 is the LCM of 7 and 10. Multiplying the LCM 70 with the numerators and denominators of both fractions (9/7 x 70/70) - (17/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 9/7 is 90/70 and for 17/10 is 119/70. By simplifying this fraction subtraction 90/70 - 119/70, it becomes -29/70.

CALCULATION: 9/7 - 17/10 as a fraction
9/7 - 17/10 = (?)
9/7 - 17/10 = [(9 x 10) - (17 x 7)]/(7 x 10)
= (90 - 119)/70
= -29/70
9/7 - 17/10 = -29/70
9/7 minus 17/10 as a fraction is -29/70.

where
9/7 is a improper fraction as a minuend,
17/10 is a improper fraction as a subtrahend,
-29/70 is the difference between 9/7 and 17/10.

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9/7 minus 17/10 as a decimal
9/7 - 17/10 = -29/70
-29/70 = -0.4143
(9/7) - (17/10) as a decimal is -0.4143

where
-0.4143 is the difference between 9/7 and 17/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/10 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 17/10.
1. LCM method
2. Cross multiplication method.

(9/7) - (17/10) using LCM Method:
What is 9/7 minus 17/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 17/10

What to be found?
(9/7) - (17/10) = ?
Find what's the difference between 9/7 and 17/10.

step 2 Compare the denominators of fractions 9/7 and 17/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/7 and 17/10 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 9/7 and 17/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 9/7 and 17/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/7 - 17/10
= [(9 x 70)/(7 x 70)] - [(17 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 90/70 - 119/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (90/1 - 119/1)
= 1/70 x (90 - 119)

step 7Simplify the above expression further:
= 1/70 x -29
= -29/70
9/7 - 17/10 = -29/70

Hence,
9/7 minus 17/10 as a fraction is -29/70.

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9/7 - 17/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/7
Fraction B: 17/10

What to be found?
(9/7)-(17/10) = ?
Find what's the difference between 9/7 and 17/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 10), 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 10) and rewrite the equation as like the below:
= (9 x 10) - (17 x 7)/(7 x 10)

step 3 Simplify and rewrite the fraction:
= (90 - 119)/70
9/7 - 17/10 = -29/70

Hence,
9/7 minus 17/10 in fraction is -29/70