What is 3/4 - 14 in fraction?
3/4 - 14 equals to -53/4 in fraction form.
Learn how to find what is 3/4 minus 14 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 14 as a fraction and decimal.
Summary: 3/4 minus 14 = -53/4
Since both fractions have unequal denominators, 3/4 minus 14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 1. 4 is the LCM of 4 and 1. Multiplying the LCM 4 with the numerators and denominators of both fractions (3/4 x 4/4) - (14 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 3/4 and for 14 is 56/4. By simplifying this fraction subtraction 3/4 - 56/4, it becomes -53/4.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 14 from 3/4. use any one of the following methods to find the equivalent fraction for 3/4 minus 14.
1. LCM method
2. Cross multiplication method.
(3/4) - (14) using LCM Method:
What is 3/4 minus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 14/1
What to be found?
(3/4) - (14) = ?
Find what's the difference between 3/4 and 14.
step 2 Compare the denominators of fractions 3/4 and 14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 14 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 3/4 and 14:
The LCM of 4 and 1 is 4.
step 4 Write the fractions 3/4 and 14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 14
= [(3 x 4)/(4 x 4)] - [(14 x 4)/(1 x 4)]
step 5 Simplify the expression to have common denominator:
= 3/4 - 56/4
step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (3/1 - 56/1)
= 1/4 x (3 - 56)
step 7Simplify the above expression further:
= 1/4 x -53
= -53/4
3/4 - 14 = -53/4
Hence,
3/4 minus 14 as a fraction is -53/4.
3/4 - 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 14/1
What to be found?
(3/4)-(14) = ?
Find what's the difference between 3/4 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (3 x 1) - (14 x 4)/(4 x 1)
step 3 Simplify and rewrite the fraction:
= (3 - 56)/4
3/4 - 14 = -53/4
Hence,
3/4 minus 14 in fraction is -53/4