1/5 - 3/14 as a fraction

Learn how to find what is 1/5 minus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 1/5 - 3/14 as a fraction and decimal.

Summary: 1/5 minus 3/14 = -1/70
Since both fractions have unequal denominators, 1/5 minus 3/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/5 and fraction 3/14 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 (1/5 x 70/70) - (3/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 1/5 is 14/70 and for 3/14 is 15/70. By simplifying this fraction subtraction 14/70 - 15/70, it becomes -1/70.

CALCULATION: 1/5 - 3/14 as a fraction
1/5 - 3/14 = (?)
1/5 - 3/14 = [(1 x 14) - (3 x 5)]/(5 x 14)
= (14 - 15)/70
= -1/70
1/5 - 3/14 = -1/70
1/5 minus 3/14 as a fraction is -1/70.

where
1/5 is a proper fraction as a minuend,
3/14 is a proper fraction as a subtrahend,
-1/70 is the difference between 1/5 and 3/14.

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1/5 minus 3/14 as a decimal
1/5 - 3/14 = -1/70
-1/70 = -0.0143
(1/5) - (3/14) as a decimal is -0.0143

where
-0.0143 is the difference between 1/5 and 3/14.

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

(1/5) - (3/14) using LCM Method:
What is 1/5 minus 3/14 as a fraction?

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

What to be found?
(1/5) - (3/14) = ?
Find what's the difference between 1/5 and 3/14.

step 2 Compare the denominators of fractions 1/5 and 3/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/5 and 3/14 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 1/5 and 3/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 1/5 and 3/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/5 - 3/14
= [(1 x 70)/(5 x 70)] - [(3 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 14/70 - 15/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (14/1 - 15/1)
= 1/70 x (14 - 15)

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

Hence,
1/5 minus 3/14 as a fraction is -1/70.

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

What to be found?
(1/5)-(3/14) = ?
Find what's the difference between 1/5 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 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:
= (1 x 14) - (3 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (14 - 15)/70
1/5 - 3/14 = -1/70

Hence,
1/5 minus 3/14 in fraction is -1/70