6 - 2/13 as a fraction

Learn how to find what is 6 minus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 6 - 2/13 as a fraction and decimal.

Summary: 6 minus 2/13 = 76/13
Since both fractions have unequal denominators, 6 minus 2/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 13. 13 is the LCM of 1 and 13. Multiplying the LCM 13 with the numerators and denominators of both fractions (6 x 13/13) - (2/13 x 13/13), and simplify further in order to have the common denominator. So the equivalent fraction for 6 is 78/13 and for 2/13 is 2/13. By simplifying this fraction subtraction 78/13 - 2/13, it becomes 76/13.

CALCULATION: 6 - 2/13 as a fraction
6 - 2/13 = (?)
6/1 - 2/13 = [(6 x 13) - (2 x 1)]/(1 x 13)
= (78 - 2)/13
= 76/13
6 - 2/13 = 76/13
6 minus 2/13 as a fraction is 76/13.

where
6 is a whole number as a minuend,
2/13 is a proper fraction as a subtrahend,
76/13 is the difference between 6 and 2/13.

---

6 minus 2/13 as a decimal
6 - 2/13 = 76/13
76/13 = 5.8462
(6) - (2/13) as a decimal is 5.8462

where
5.8462 is the difference between 6 and 2/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/13 from 6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6 minus 2/13.
1. LCM method
2. Cross multiplication method.

(6) - (2/13) using LCM Method:
What is 6 minus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 2/13

What to be found?
(6) - (2/13) = ?
Find what's the difference between 6 and 2/13.

step 2 Compare the denominators of fractions 6 and 2/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6 and 2/13 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 6 and 2/13:
The LCM of 1 and 13 is 13.

step 4 Write the fractions 6 and 2/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6 - 2/13
= [(6 x 13)/(1 x 13)] - [(2 x 13)/(13 x 13)]

step 5 Simplify the expression to have common denominator:
= 78/13 - 2/13

step 6 Take the common values out and rewrite the above expression like the below:
= 1/13 x (78/1 - 2/1)
= 1/13 x (78 - 2)

step 7Simplify the above expression further:
= 1/13 x 76
= 76/13
6 - 2/13 = 76/13

Hence,
6 minus 2/13 as a fraction is 76/13.

---

6 - 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 2/13

What to be found?
(6)-(2/13) = ?
Find what's the difference between 6 and 2/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 13) and rewrite the equation as like the below:
= (6 x 13) - (2 x 1)/(1 x 13)

step 3 Simplify and rewrite the fraction:
= (78 - 2)/13
6 - 2/13 = 76/13

Hence,
6 minus 2/13 in fraction is 76/13