7/2 - 10/13 as a fraction

Learn how to find what is 7/2 minus 10/13 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 10/13 as a fraction and decimal.

Summary: 7/2 minus 10/13 = 71/26
Since both fractions have unequal denominators, 7/2 minus 10/13 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 10/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 13. 26 is the LCM of 2 and 13. Multiplying the LCM 26 with the numerators and denominators of both fractions (7/2 x 26/26) - (10/13 x 26/26), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 91/26 and for 10/13 is 20/26. By simplifying this fraction subtraction 91/26 - 20/26, it becomes 71/26.

CALCULATION: 7/2 - 10/13 as a fraction
7/2 - 10/13 = (?)
7/2 - 10/13 = [(7 x 13) - (10 x 2)]/(2 x 13)
= (91 - 20)/26
= 71/26
7/2 - 10/13 = 71/26
7/2 minus 10/13 as a fraction is 71/26.

where
7/2 is a improper fraction as a minuend,
10/13 is a proper fraction as a subtrahend,
71/26 is the difference between 7/2 and 10/13.

---

7/2 minus 10/13 as a decimal
7/2 - 10/13 = 71/26
71/26 = 2.7308
(7/2) - (10/13) as a decimal is 2.7308

where
2.7308 is the difference between 7/2 and 10/13.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 10/13 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 10/13.
1. LCM method
2. Cross multiplication method.

(7/2) - (10/13) using LCM Method:
What is 7/2 minus 10/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 10/13

What to be found?
(7/2) - (10/13) = ?
Find what's the difference between 7/2 and 10/13.

step 2 Compare the denominators of fractions 7/2 and 10/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 10/13 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 7/2 and 10/13:
The LCM of 2 and 13 is 26.

step 4 Write the fractions 7/2 and 10/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 10/13
= [(7 x 26)/(2 x 26)] - [(10 x 26)/(13 x 26)]

step 5 Simplify the expression to have common denominator:
= 91/26 - 20/26

step 6 Take the common values out and rewrite the above expression like the below:
= 1/26 x (91/1 - 20/1)
= 1/26 x (91 - 20)

step 7Simplify the above expression further:
= 1/26 x 71
= 71/26
7/2 - 10/13 = 71/26

Hence,
7/2 minus 10/13 as a fraction is 71/26.

---

7/2 - 10/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 10/13

What to be found?
(7/2)-(10/13) = ?
Find what's the difference between 7/2 and 10/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 13), find the product of numerator of Fraction B and denominator of Fraction A (10 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (7 x 13) - (10 x 2)/(2 x 13)

step 3 Simplify and rewrite the fraction:
= (91 - 20)/26
7/2 - 10/13 = 71/26

Hence,
7/2 minus 10/13 in fraction is 71/26