7/2 - 2/15 as a fraction

Learn how to find what is 7/2 minus 2/15 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 2/15 as a fraction and decimal.

Summary: 7/2 minus 2/15 = 101/30
Since both fractions have unequal denominators, 7/2 minus 2/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 2/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 15. 30 is the LCM of 2 and 15. Multiplying the LCM 30 with the numerators and denominators of both fractions (7/2 x 30/30) - (2/15 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 105/30 and for 2/15 is 4/30. By simplifying this fraction subtraction 105/30 - 4/30, it becomes 101/30.

CALCULATION: 7/2 - 2/15 as a fraction
7/2 - 2/15 = (?)
7/2 - 2/15 = [(7 x 15) - (2 x 2)]/(2 x 15)
= (105 - 4)/30
= 101/30
7/2 - 2/15 = 101/30
7/2 minus 2/15 as a fraction is 101/30.

where
7/2 is a improper fraction as a minuend,
2/15 is a proper fraction as a subtrahend,
101/30 is the difference between 7/2 and 2/15.

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7/2 minus 2/15 as a decimal
7/2 - 2/15 = 101/30
101/30 = 3.3667
(7/2) - (2/15) as a decimal is 3.3667

where
3.3667 is the difference between 7/2 and 2/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/15 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 2/15.
1. LCM method
2. Cross multiplication method.

(7/2) - (2/15) using LCM Method:
What is 7/2 minus 2/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 2/15

What to be found?
(7/2) - (2/15) = ?
Find what's the difference between 7/2 and 2/15.

step 2 Compare the denominators of fractions 7/2 and 2/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 2/15 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 7/2 and 2/15:
The LCM of 2 and 15 is 30.

step 4 Write the fractions 7/2 and 2/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 2/15
= [(7 x 30)/(2 x 30)] - [(2 x 30)/(15 x 30)]

step 5 Simplify the expression to have common denominator:
= 105/30 - 4/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (105/1 - 4/1)
= 1/30 x (105 - 4)

step 7Simplify the above expression further:
= 1/30 x 101
= 101/30
7/2 - 2/15 = 101/30

Hence,
7/2 minus 2/15 as a fraction is 101/30.

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7/2 - 2/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 2/15

What to be found?
(7/2)-(2/15) = ?
Find what's the difference between 7/2 and 2/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 15), find the product of numerator of Fraction B and denominator of Fraction A (2 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 15) and rewrite the equation as like the below:
= (7 x 15) - (2 x 2)/(2 x 15)

step 3 Simplify and rewrite the fraction:
= (105 - 4)/30
7/2 - 2/15 = 101/30

Hence,
7/2 minus 2/15 in fraction is 101/30