1/3 - 3/14 as a fraction

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

Summary: 1/3 minus 3/14 = 5/42
Since both fractions have unequal denominators, 1/3 minus 3/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (1/3 x 42/42) - (3/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 14/42 and for 3/14 is 9/42. By simplifying this fraction subtraction 14/42 - 9/42, it becomes 5/42.

Pie Chart Representation: 1/3 - 3/14 = 5/42

CALCULATION: 1/3 - 3/14 as a fraction
1/3 - 3/14 = (?)
1/3 - 3/14 = [(1 x 14) - (3 x 3)]/(3 x 14)
= (14 - 9)/42
= 5/42
1/3 - 3/14 = 5/42
1/3 minus 3/14 as a fraction is 5/42.

where
1/3 is a proper fraction as a minuend,
3/14 is a proper fraction as a subtrahend,
5/42 is the difference between 1/3 and 3/14.

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1/3 minus 3/14 as a decimal
1/3 - 3/14 = 5/42
5/42 = 0.119
(1/3) - (3/14) as a decimal is 0.119

where
0.119 is the difference between 1/3 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 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 3/14.
1. LCM method
2. Cross multiplication method.

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

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

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

step 2 Compare the denominators of fractions 1/3 and 3/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 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 1/3 and 3/14:
The LCM of 3 and 14 is 42.

step 4 Write the fractions 1/3 and 3/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 3/14
= [(1 x 42)/(3 x 42)] - [(3 x 42)/(14 x 42)]

step 5 Simplify the expression to have common denominator:
= 14/42 - 9/42

step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (14/1 - 9/1)
= 1/42 x (14 - 9)

step 7Simplify the above expression further:
= 1/42 x 5
= 5/42
1/3 - 3/14 = 5/42

Hence,
1/3 minus 3/14 as a fraction is 5/42.

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

What to be found?
(1/3)-(3/14) = ?
Find what's the difference between 1/3 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 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (1 x 14) - (3 x 3)/(3 x 14)

step 3 Simplify and rewrite the fraction:
= (14 - 9)/42
1/3 - 3/14 = 5/42

Hence,
1/3 minus 3/14 in fraction is 5/42