3/1 - 17/15 as a fraction

Learn how to find what is 3/1 minus 17/15 in fraction form just in a few minutes. We have covered the easiest method to write 3/1 - 17/15 as a fraction and decimal.

Summary: 3/1 minus 17/15 = 28/15
Since both fractions have unequal denominators, 3/1 minus 17/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/1 and fraction 17/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 15. 15 is the LCM of 1 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (3/1 x 15/15) - (17/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 3/1 is 45/15 and for 17/15 is 17/15. By simplifying this fraction subtraction 45/15 - 17/15, it becomes 28/15.

CALCULATION: 3/1 - 17/15 as a fraction
3/1 - 17/15 = (?)
3/1 - 17/15 = [(3 x 15) - (17 x 1)]/(1 x 15)
= (45 - 17)/15
= 28/15
3/1 - 17/15 = 28/15
3/1 minus 17/15 as a fraction is 28/15.

where
3/1 is a improper fraction as a minuend,
17/15 is a improper fraction as a subtrahend,
28/15 is the difference between 3/1 and 17/15.

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3/1 minus 17/15 as a decimal
3/1 - 17/15 = 28/15
28/15 = 1.8667
(3/1) - (17/15) as a decimal is 1.8667

where
1.8667 is the difference between 3/1 and 17/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/15 from 3/1. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/1 minus 17/15.
1. LCM method
2. Cross multiplication method.

(3/1) - (17/15) using LCM Method:
What is 3/1 minus 17/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 17/15

What to be found?
(3/1) - (17/15) = ?
Find what's the difference between 3/1 and 17/15.

step 2 Compare the denominators of fractions 3/1 and 17/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/1 and 17/15 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 3/1 and 17/15:
The LCM of 1 and 15 is 15.

step 4 Write the fractions 3/1 and 17/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/1 - 17/15
= [(3 x 15)/(1 x 15)] - [(17 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 45/15 - 17/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (45/1 - 17/1)
= 1/15 x (45 - 17)

step 7Simplify the above expression further:
= 1/15 x 28
= 28/15
3/1 - 17/15 = 28/15

Hence,
3/1 minus 17/15 as a fraction is 28/15.

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3/1 - 17/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 17/15

What to be found?
(3/1)-(17/15) = ?
Find what's the difference between 3/1 and 17/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 15), find the product of numerator of Fraction B and denominator of Fraction A (17 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 15) and rewrite the equation as like the below:
= (3 x 15) - (17 x 1)/(1 x 15)

step 3 Simplify and rewrite the fraction:
= (45 - 17)/15
3/1 - 17/15 = 28/15

Hence,
3/1 minus 17/15 in fraction is 28/15