1/3 - 2/84 as a fraction

Learn how to find what is 1/3 minus 2/84 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 2/84 as a fraction and decimal.

Summary: 1/3 minus 2/84 = 13/42
Since both fractions have unequal denominators, 1/3 minus 2/84 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 2/84 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 84. 84 is the LCM of 3 and 84. Multiplying the LCM 84 with the numerators and denominators of both fractions (1/3 x 84/84) - (2/84 x 84/84), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 28/84 and for 2/84 is 2/84. By simplifying this fraction subtraction 28/84 - 2/84, it becomes 26/84.

Pie Chart Representation: 1/3 - 2/84 = 13/42

CALCULATION: 1/3 - 2/84 as a fraction
1/3 - 2/84 = (?)
1/3 - 2/84 = [(1 x 84) - (2 x 3)]/(3 x 84)
= (84 - 6)/252
= 78/252
= (6 x 13)/(6 x 42)
= 13/42
1/3 - 2/84 = 13/42
1/3 minus 2/84 as a fraction is 13/42.

where
1/3 is a proper fraction as a minuend,
2/84 is a proper fraction as a subtrahend,
13/42 is the difference between 1/3 and 2/84.

---

1/3 minus 2/84 as a decimal
1/3 - 2/84 = 13/42
13/42 = 0.3095
(1/3) - (2/84) as a decimal is 0.3095

where
0.3095 is the difference between 1/3 and 2/84.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/84 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 2/84.
1. LCM method
2. Cross multiplication method.

(1/3) - (2/84) using LCM Method:
What is 1/3 minus 2/84 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/84

What to be found?
(1/3) - (2/84) = ?
Find what's the difference between 1/3 and 2/84.

step 2 Compare the denominators of fractions 1/3 and 2/84 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 2/84 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 2/84:
The LCM of 3 and 84 is 84.

step 4 Write the fractions 1/3 and 2/84 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 2/84
= [(1 x 84)/(3 x 84)] - [(2 x 84)/(84 x 84)]

step 5 Simplify the expression to have common denominator:
= 28/84 - 2/84

step 6 Take the common values out and rewrite the above expression like the below:
= 1/84 x (28/1 - 2/1)
= 1/84 x (28 - 2)

step 7Simplify the above expression further:
= 1/84 x 26
= 26/84
= 13/42
1/3 - 2/84 = 13/42

Hence,
1/3 minus 2/84 as a fraction is 13/42.

---

1/3 - 2/84 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 2/84

What to be found?
(1/3)-(2/84) = ?
Find what's the difference between 1/3 and 2/84.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 84), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 84) and rewrite the equation as like the below:
= (1 x 84) - (2 x 3)/(3 x 84)

step 3 Simplify and rewrite the fraction:
= (84 - 6)/252
= 78/252
= 13/42
1/3 - 2/84 = 13/42

Hence,
1/3 minus 2/84 in fraction is 13/42