3/5 - 5/14 as a fraction

Learn how to find what is 3/5 minus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 5/14 as a fraction and decimal.

Summary: 3/5 minus 5/14 = 17/70
Since both fractions have unequal denominators, 3/5 minus 5/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 5/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 14. 70 is the LCM of 5 and 14. Multiplying the LCM 70 with the numerators and denominators of both fractions (3/5 x 70/70) - (5/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 42/70 and for 5/14 is 25/70. By simplifying this fraction subtraction 42/70 - 25/70, it becomes 17/70.

Pie Chart Representation: 3/5 - 5/14 = 17/70

CALCULATION: 3/5 - 5/14 as a fraction
3/5 - 5/14 = (?)
3/5 - 5/14 = [(3 x 14) - (5 x 5)]/(5 x 14)
= (42 - 25)/70
= 17/70
3/5 - 5/14 = 17/70
3/5 minus 5/14 as a fraction is 17/70.

where
3/5 is a proper fraction as a minuend,
5/14 is a proper fraction as a subtrahend,
17/70 is the difference between 3/5 and 5/14.

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3/5 minus 5/14 as a decimal
3/5 - 5/14 = 17/70
17/70 = 0.2429
(3/5) - (5/14) as a decimal is 0.2429

where
0.2429 is the difference between 3/5 and 5/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/14 from 3/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/5 minus 5/14.
1. LCM method
2. Cross multiplication method.

(3/5) - (5/14) using LCM Method:
What is 3/5 minus 5/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 5/14

What to be found?
(3/5) - (5/14) = ?
Find what's the difference between 3/5 and 5/14.

step 2 Compare the denominators of fractions 3/5 and 5/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 and 5/14 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 3/5 and 5/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 3/5 and 5/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 5/14
= [(3 x 70)/(5 x 70)] - [(5 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 42/70 - 25/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (42/1 - 25/1)
= 1/70 x (42 - 25)

step 7Simplify the above expression further:
= 1/70 x 17
= 17/70
3/5 - 5/14 = 17/70

Hence,
3/5 minus 5/14 as a fraction is 17/70.

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3/5 - 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 5/14

What to be found?
(3/5)-(5/14) = ?
Find what's the difference between 3/5 and 5/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (3 x 14) - (5 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (42 - 25)/70
3/5 - 5/14 = 17/70

Hence,
3/5 minus 5/14 in fraction is 17/70