1/3 - 7/10 as a fraction

Learn how to find what is 1/3 minus 7/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 7/10 as a fraction and decimal.

Summary: 1/3 minus 7/10 = -11/30
Since both fractions have unequal denominators, 1/3 minus 7/10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/3 and fraction 7/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 10. 30 is the LCM of 3 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (1/3 x 30/30) - (7/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 1/3 is 10/30 and for 7/10 is 21/30. By simplifying this fraction subtraction 10/30 - 21/30, it becomes -11/30.

CALCULATION: 1/3 - 7/10 as a fraction
1/3 - 7/10 = (?)
1/3 - 7/10 = [(1 x 10) - (7 x 3)]/(3 x 10)
= (10 - 21)/30
= -11/30
1/3 - 7/10 = -11/30
1/3 minus 7/10 as a fraction is -11/30.

where
1/3 is a proper fraction as a minuend,
7/10 is a proper fraction as a subtrahend,
-11/30 is the difference between 1/3 and 7/10.

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1/3 minus 7/10 as a decimal
1/3 - 7/10 = -11/30
-11/30 = -0.3667
(1/3) - (7/10) as a decimal is -0.3667

where
-0.3667 is the difference between 1/3 and 7/10.

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

(1/3) - (7/10) using LCM Method:
What is 1/3 minus 7/10 as a fraction?

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

What to be found?
(1/3) - (7/10) = ?
Find what's the difference between 1/3 and 7/10.

step 2 Compare the denominators of fractions 1/3 and 7/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 7/10 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 1/3 and 7/10:
The LCM of 3 and 10 is 30.

step 4 Write the fractions 1/3 and 7/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/3 - 7/10
= [(1 x 30)/(3 x 30)] - [(7 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 10/30 - 21/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (10/1 - 21/1)
= 1/30 x (10 - 21)

step 7Simplify the above expression further:
= 1/30 x -11
= -11/30
1/3 - 7/10 = -11/30

Hence,
1/3 minus 7/10 as a fraction is -11/30.

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

What to be found?
(1/3)-(7/10) = ?
Find what's the difference between 1/3 and 7/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), 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 10) and rewrite the equation as like the below:
= (1 x 10) - (7 x 3)/(3 x 10)

step 3 Simplify and rewrite the fraction:
= (10 - 21)/30
1/3 - 7/10 = -11/30

Hence,
1/3 minus 7/10 in fraction is -11/30