5/3 - 15/7 as a fraction

Learn how to find what is 5/3 minus 15/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/3 - 15/7 as a fraction and decimal.

Summary: 5/3 minus 15/7 = -10/21
Since both fractions have unequal denominators, 5/3 minus 15/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/3 and fraction 15/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (5/3 x 21/21) - (15/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 5/3 is 35/21 and for 15/7 is 45/21. By simplifying this fraction subtraction 35/21 - 45/21, it becomes -10/21.

CALCULATION: 5/3 - 15/7 as a fraction
5/3 - 15/7 = (?)
5/3 - 15/7 = [(5 x 7) - (15 x 3)]/(3 x 7)
= (35 - 45)/21
= -10/21
5/3 - 15/7 = -10/21
5/3 minus 15/7 as a fraction is -10/21.

where
5/3 is a improper fraction as a minuend,
15/7 is a improper fraction as a subtrahend,
-10/21 is the difference between 5/3 and 15/7.

---

5/3 minus 15/7 as a decimal
5/3 - 15/7 = -10/21
-10/21 = -0.4762
(5/3) - (15/7) as a decimal is -0.4762

where
-0.4762 is the difference between 5/3 and 15/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 15/7 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 15/7.
1. LCM method
2. Cross multiplication method.

(5/3) - (15/7) using LCM Method:
What is 5/3 minus 15/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 15/7

What to be found?
(5/3) - (15/7) = ?
Find what's the difference between 5/3 and 15/7.

step 2 Compare the denominators of fractions 5/3 and 15/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/3 and 15/7 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 15/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 5/3 and 15/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/3 - 15/7
= [(5 x 21)/(3 x 21)] - [(15 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 35/21 - 45/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (35/1 - 45/1)
= 1/21 x (35 - 45)

step 7Simplify the above expression further:
= 1/21 x -10
= -10/21
5/3 - 15/7 = -10/21

Hence,
5/3 minus 15/7 as a fraction is -10/21.

---

5/3 - 15/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/3
Fraction B: 15/7

What to be found?
(5/3)-(15/7) = ?
Find what's the difference between 5/3 and 15/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (15 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (5 x 7) - (15 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (35 - 45)/21
5/3 - 15/7 = -10/21

Hence,
5/3 minus 15/7 in fraction is -10/21