What is 2/3 minus 2/14 in fraction?
2/3 minus 2/14 equals to 11/21 in fraction form.
Learn how to find what is 2/3 minus 2/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 - 2/14 as a fraction and decimal.
Summary: 2/3 minus 2/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 2/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 3 and 14. Multiply the LCM 42 with all the numerators and denominators of both fractions (2/3 x 42/42) - (2/14 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 22/42.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/14 from 2/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/3 minus 2/14.
1. LCM method
2. Cross multiplication method.
2/3-2/14 using LCM Method:
What is 2/3 minus 2/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/14
What to be found?
2/3-2/14 = ?
Find what's the difference between 2/3 and 2/14.
step 2 Compare the denominators of fractions 2/3 and 2/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/3 and 2/14 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 2/3 and 2/14:
The LCM of 3 and 14 is 42.
step 4 Write the fractions 2/3 and 2/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3-2/14
=(2 x 42)/(3 x 42)-(2 x 42)/(14 x 42)
step 5 Simplify the expression to have common denominator:
=28/42-6/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (28/1-6/1)
=1/42 x (28 - 6)
step 7Simplify the above expression further:
=1/42 x 22
= 22/42
=11/21
2/3-2/14=11/21
Hence,
2/3 minus 2/14 equals to 11/21 in fraction.
2/3-2/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 2/14
What to be found?
2/3-2/14 = ?
Find what's the difference between 2/3 and 2/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (2 x 14) - (2 x 3)/(3 x 14)
step 3 Simplify and rewrite the fraction:
= (28 - 6)/42
= 22/42
= 11/21
2/3-2/14 = 11/21
Hence,
2/3 minus 2/14 = 11/21