What is 3/5 - 14 in fraction?
3/5 - 14 equals to -67/5 in fraction form.
Learn how to find what is 3/5 minus 14 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 - 14 as a fraction and decimal.
Summary: 3/5 minus 14 = -67/5
Since both fractions have unequal denominators, 3/5 minus 14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (3/5 x 5/5) - (14 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 3/5 and for 14 is 70/5. By simplifying this fraction subtraction 3/5 - 70/5, it becomes -67/5.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 14 from 3/5. use any one of the following methods to find the equivalent fraction for 3/5 minus 14.
1. LCM method
2. Cross multiplication method.
(3/5) - (14) using LCM Method:
What is 3/5 minus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 14/1
What to be found?
(3/5) - (14) = ?
Find what's the difference between 3/5 and 14.
step 2 Compare the denominators of fractions 3/5 and 14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/5 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 3/5 and 14:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 3/5 and 14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/5 - 14
= [(3 x 5)/(5 x 5)] - [(14 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 3/5 - 70/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (3/1 - 70/1)
= 1/5 x (3 - 70)
step 7Simplify the above expression further:
= 1/5 x -67
= -67/5
3/5 - 14 = -67/5
Hence,
3/5 minus 14 as a fraction is -67/5.
3/5 - 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 14/1
What to be found?
(3/5)-(14) = ?
Find what's the difference between 3/5 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 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (3 x 1) - (14 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (3 - 70)/5
3/5 - 14 = -67/5
Hence,
3/5 minus 14 in fraction is -67/5