What is 7/5 minus 3/14 in fraction?
7/5 minus 3/14 equals to 83/70 in fraction form.
Learn how to find what is 7/5 minus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 - 3/14 as a fraction and decimal.
Summary: 7/5 minus 3/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/5 and 3/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 70 is the LCM of 5 and 14. Multiply the LCM 70 with all the numerators and denominators of both fractions (7/5 x 70/70) - (3/14 x 70/70) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 83/70.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/14 from 7/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/5 minus 3/14.
1. LCM method
2. Cross multiplication method.
7/5-3/14 using LCM Method:
What is 7/5 minus 3/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 3/14
What to be found?
7/5-3/14 = ?
Find what's the difference between 7/5 and 3/14.
step 2 Compare the denominators of fractions 7/5 and 3/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/5 and 3/14 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 7/5 and 3/14:
The LCM of 5 and 14 is 70.
step 4 Write the fractions 7/5 and 3/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/5-3/14
=(7 x 70)/(5 x 70)-(3 x 70)/(14 x 70)
step 5 Simplify the expression to have common denominator:
=98/70-15/70
step 6 Take the common values out and rewrite the above expression like the below:
=1/70 x (98/1-15/1)
=1/70 x (98 - 15)
step 7Simplify the above expression further:
=1/70 x 83
=83/70
7/5-3/14=83/70
Hence,
7/5 minus 3/14 equals to 83/70 in fraction.
7/5-3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 3/14
What to be found?
7/5-3/14 = ?
Find what's the difference between 7/5 and 3/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (7 x 14) - (3 x 5)/(5 x 14)
step 3 Simplify and rewrite the fraction:
= (98 - 15)/70
7/5-3/14 = 83/70
Hence,
7/5 minus 3/14 = 83/70