What is 3/7 minus 3/12 in fraction?
3/7 minus 3/12 equals to 5/28 in fraction form.
Learn how to find what is 3/7 minus 3/12 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 3/12 as a fraction and decimal.
Summary: 3/7 minus 3/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 3/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 84 is the LCM of 7 and 12. Multiply the LCM 84 with all the numerators and denominators of both fractions (3/7 x 84/84) - (3/12 x 84/84) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 15/84.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/12 from 3/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/7 minus 3/12.
1. LCM method
2. Cross multiplication method.
3/7-3/12 using LCM Method:
What is 3/7 minus 3/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/12
What to be found?
3/7-3/12 = ?
Find what's the difference between 3/7 and 3/12.
step 2 Compare the denominators of fractions 3/7 and 3/12 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 and 3/12 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 3/7 and 3/12:
The LCM of 7 and 12 is 84.
step 4 Write the fractions 3/7 and 3/12 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7-3/12
=(3 x 84)/(7 x 84)-(3 x 84)/(12 x 84)
step 5 Simplify the expression to have common denominator:
=36/84-21/84
step 6 Take the common values out and rewrite the above expression like the below:
=1/84 x (36/1-21/1)
=1/84 x (36 - 21)
step 7Simplify the above expression further:
=1/84 x 15
= 15/84
=5/28
3/7-3/12=5/28
Hence,
3/7 minus 3/12 equals to 5/28 in fraction.
3/7-3/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 3/12
What to be found?
3/7-3/12 = ?
Find what's the difference between 3/7 and 3/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 12), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 12) and rewrite the equation as like the below:
= (3 x 12) - (3 x 7)/(7 x 12)
step 3 Simplify and rewrite the fraction:
= (36 - 21)/84
= 15/84
= 5/28
3/7-3/12 = 5/28
Hence,
3/7 minus 3/12 = 5/28