What is 5/3 minus 7/13 in fraction?
5/3 minus 7/13 equals to 44/39 in fraction form.
Learn how to find what is 5/3 minus 7/13 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 - 7/13 as a fraction and decimal.
Summary: 5/3 minus 7/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 5/3 and 7/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 39 is the LCM of 3 and 13. Multiply the LCM 39 with all the numerators and denominators of both fractions (5/3 x 39/39) - (7/13 x 39/39) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 44/39.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/13 from 5/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/3 minus 7/13.
1. LCM method
2. Cross multiplication method.
5/3-7/13 using LCM Method:
What is 5/3 minus 7/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 7/13
What to be found?
5/3-7/13 = ?
Find what's the difference between 5/3 and 7/13.
step 2 Compare the denominators of fractions 5/3 and 7/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/3 and 7/13 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 5/3 and 7/13:
The LCM of 3 and 13 is 39.
step 4 Write the fractions 5/3 and 7/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/3-7/13
=(5 x 39)/(3 x 39)-(7 x 39)/(13 x 39)
step 5 Simplify the expression to have common denominator:
=65/39-21/39
step 6 Take the common values out and rewrite the above expression like the below:
=1/39 x (65/1-21/1)
=1/39 x (65 - 21)
step 7Simplify the above expression further:
=1/39 x 44
=44/39
5/3-7/13=44/39
Hence,
5/3 minus 7/13 equals to 44/39 in fraction.
5/3-7/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 7/13
What to be found?
5/3-7/13 = ?
Find what's the difference between 5/3 and 7/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 13), find the product of numerator of Fraction B and denominator of Fraction A (7 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 13) and rewrite the equation as like the below:
= (5 x 13) - (7 x 3)/(3 x 13)
step 3 Simplify and rewrite the fraction:
= (65 - 21)/39
5/3-7/13 = 44/39
Hence,
5/3 minus 7/13 = 44/39