1/2 - 1/78 as a fraction

Learn how to find what is 1/2 minus 1/78 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 1/78 as a fraction and decimal.

Summary: 1/2 minus 1/78 = 19/39
Since both fractions have unequal denominators, 1/2 minus 1/78 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/2 and fraction 1/78 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 78. 78 is the LCM of 2 and 78. Multiplying the LCM 78 with the numerators and denominators of both fractions (1/2 x 78/78) - (1/78 x 78/78), and simplify further in order to have the common denominator. So the equivalent fraction for 1/2 is 39/78 and for 1/78 is 1/78. By simplifying this fraction subtraction 39/78 - 1/78, it becomes 38/78.

Pie Chart Representation: 1/2 - 1/78 = 19/39

CALCULATION: 1/2 - 1/78 as a fraction
1/2 - 1/78 = (?)
1/2 - 1/78 = [(1 x 78) - (1 x 2)]/(2 x 78)
= (78 - 2)/156
= 76/156
= (4 x 19)/(4 x 39)
= 19/39
1/2 - 1/78 = 19/39
1/2 minus 1/78 as a fraction is 19/39.

where
1/2 is a proper fraction as a minuend,
1/78 is a proper fraction as a subtrahend,
19/39 is the difference between 1/2 and 1/78.

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1/2 minus 1/78 as a decimal
1/2 - 1/78 = 19/39
19/39 = 0.4872
(1/2) - (1/78) as a decimal is 0.4872

where
0.4872 is the difference between 1/2 and 1/78.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/78 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 1/78.
1. LCM method
2. Cross multiplication method.

(1/2) - (1/78) using LCM Method:
What is 1/2 minus 1/78 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/78

What to be found?
(1/2) - (1/78) = ?
Find what's the difference between 1/2 and 1/78.

step 2 Compare the denominators of fractions 1/2 and 1/78 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 1/78 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 1/2 and 1/78:
The LCM of 2 and 78 is 78.

step 4 Write the fractions 1/2 and 1/78 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/2 - 1/78
= [(1 x 78)/(2 x 78)] - [(1 x 78)/(78 x 78)]

step 5 Simplify the expression to have common denominator:
= 39/78 - 1/78

step 6 Take the common values out and rewrite the above expression like the below:
= 1/78 x (39/1 - 1/1)
= 1/78 x (39 - 1)

step 7Simplify the above expression further:
= 1/78 x 38
= 38/78
= 19/39
1/2 - 1/78 = 19/39

Hence,
1/2 minus 1/78 as a fraction is 19/39.

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1/2 - 1/78 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 1/78

What to be found?
(1/2)-(1/78) = ?
Find what's the difference between 1/2 and 1/78.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 78), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 78) and rewrite the equation as like the below:
= (1 x 78) - (1 x 2)/(2 x 78)

step 3 Simplify and rewrite the fraction:
= (78 - 2)/156
= 76/156
= 19/39
1/2 - 1/78 = 19/39

Hence,
1/2 minus 1/78 in fraction is 19/39