17/7 - 3/10 as a fraction

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

Summary: 17/7 minus 3/10 = 149/70
Since both fractions have unequal denominators, 17/7 minus 3/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 17/7 and fraction 3/10 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 (17/7 x 70/70) - (3/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 17/7 is 170/70 and for 3/10 is 21/70. By simplifying this fraction subtraction 170/70 - 21/70, it becomes 149/70.

CALCULATION: 17/7 - 3/10 as a fraction
17/7 - 3/10 = (?)
17/7 - 3/10 = [(17 x 10) - (3 x 7)]/(7 x 10)
= (170 - 21)/70
= 149/70
17/7 - 3/10 = 149/70
17/7 minus 3/10 as a fraction is 149/70.

where
17/7 is a improper fraction as a minuend,
3/10 is a proper fraction as a subtrahend,
149/70 is the difference between 17/7 and 3/10.

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17/7 minus 3/10 as a decimal
17/7 - 3/10 = 149/70
149/70 = 2.1286
(17/7) - (3/10) as a decimal is 2.1286

where
2.1286 is the difference between 17/7 and 3/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/10 from 17/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 17/7 minus 3/10.
1. LCM method
2. Cross multiplication method.

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 170/70 - 21/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (170/1 - 21/1)
= 1/70 x (170 - 21)

step 7Simplify the above expression further:
= 1/70 x 149
= 149/70
17/7 - 3/10 = 149/70

Hence,
17/7 minus 3/10 as a fraction is 149/70.

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

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

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

step 3 Simplify and rewrite the fraction:
= (170 - 21)/70
17/7 - 3/10 = 149/70

Hence,
17/7 minus 3/10 in fraction is 149/70