3/7 - 17/10 as a fraction

Learn how to find what is 3/7 minus 17/10 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 17/10 as a fraction and decimal.

Summary: 3/7 minus 17/10 = -89/70
Since both fractions have unequal denominators, 3/7 minus 17/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/7 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 (3/7 x 70/70) - (17/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 30/70 and for 17/10 is 119/70. By simplifying this fraction subtraction 30/70 - 119/70, it becomes -89/70.

CALCULATION: 3/7 - 17/10 as a fraction
3/7 - 17/10 = (?)
3/7 - 17/10 = [(3 x 10) - (17 x 7)]/(7 x 10)
= (30 - 119)/70
= -89/70
3/7 - 17/10 = -89/70
3/7 minus 17/10 as a fraction is -89/70.

where
3/7 is a proper fraction as a minuend,
17/10 is a improper fraction as a subtrahend,
-89/70 is the difference between 3/7 and 17/10.

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3/7 minus 17/10 as a decimal
3/7 - 17/10 = -89/70
-89/70 = -1.2714
(3/7) - (17/10) as a decimal is -1.2714

where
-1.2714 is the difference between 3/7 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 3/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/7 minus 17/10.
1. LCM method
2. Cross multiplication method.

(3/7) - (17/10) using LCM Method:
What is 3/7 minus 17/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 17/10

What to be found?
(3/7) - (17/10) = ?
Find what's the difference between 3/7 and 17/10.

step 2 Compare the denominators of fractions 3/7 and 17/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 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 3/7 and 17/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 3/7 and 17/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 - 17/10
= [(3 x 70)/(7 x 70)] - [(17 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 30/70 - 119/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (30/1 - 119/1)
= 1/70 x (30 - 119)

step 7Simplify the above expression further:
= 1/70 x -89
= -89/70
3/7 - 17/10 = -89/70

Hence,
3/7 minus 17/10 as a fraction is -89/70.

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3/7 - 17/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 17/10

What to be found?
(3/7)-(17/10) = ?
Find what's the difference between 3/7 and 17/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 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:
= (3 x 10) - (17 x 7)/(7 x 10)

step 3 Simplify and rewrite the fraction:
= (30 - 119)/70
3/7 - 17/10 = -89/70

Hence,
3/7 minus 17/10 in fraction is -89/70