7/8 - 3/10 as a fraction

Learn how to find what is 7/8 minus 3/10 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 - 3/10 as a fraction and decimal.

Summary: 7/8 minus 3/10 = 23/40
Since both fractions have unequal denominators, 7/8 minus 3/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 3/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 10. 40 is the LCM of 8 and 10. Multiplying the LCM 40 with the numerators and denominators of both fractions (7/8 x 40/40) - (3/10 x 40/40), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 35/40 and for 3/10 is 12/40. By simplifying this fraction subtraction 35/40 - 12/40, it becomes 23/40.

Pie Chart Representation: 7/8 - 3/10 = 23/40

CALCULATION: 7/8 - 3/10 as a fraction
7/8 - 3/10 = (?)
7/8 - 3/10 = [(7 x 10) - (3 x 8)]/(8 x 10)
= (70 - 24)/80
= 46/80
= (2 x 23)/(2 x 40)
= 23/40
7/8 - 3/10 = 23/40
7/8 minus 3/10 as a fraction is 23/40.

where
7/8 is a proper fraction as a minuend,
3/10 is a proper fraction as a subtrahend,
23/40 is the difference between 7/8 and 3/10.

---

7/8 minus 3/10 as a decimal
7/8 - 3/10 = 23/40
23/40 = 0.575
(7/8) - (3/10) as a decimal is 0.575

where
0.575 is the difference between 7/8 and 3/10.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/10 from 7/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/8 minus 3/10.
1. LCM method
2. Cross multiplication method.

(7/8) - (3/10) using LCM Method:
What is 7/8 minus 3/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/10

What to be found?
(7/8) - (3/10) = ?
Find what's the difference between 7/8 and 3/10.

step 2 Compare the denominators of fractions 7/8 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 3/10 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 7/8 and 3/10:
The LCM of 8 and 10 is 40.

step 4 Write the fractions 7/8 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 - 3/10
= [(7 x 40)/(8 x 40)] - [(3 x 40)/(10 x 40)]

step 5 Simplify the expression to have common denominator:
= 35/40 - 12/40

step 6 Take the common values out and rewrite the above expression like the below:
= 1/40 x (35/1 - 12/1)
= 1/40 x (35 - 12)

step 7Simplify the above expression further:
= 1/40 x 23
= 23/40
7/8 - 3/10 = 23/40

Hence,
7/8 minus 3/10 as a fraction is 23/40.

---

7/8 - 3/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/10

What to be found?
(7/8)-(3/10) = ?
Find what's the difference between 7/8 and 3/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 10) and rewrite the equation as like the below:
= (7 x 10) - (3 x 8)/(8 x 10)

step 3 Simplify and rewrite the fraction:
= (70 - 24)/80
= 46/80
= 23/40
7/8 - 3/10 = 23/40

Hence,
7/8 minus 3/10 in fraction is 23/40