14/9 - 1/15 as a fraction

Learn how to find what is 14/9 minus 1/15 in fraction form just in a few minutes. We have covered the easiest method to write 14/9 - 1/15 as a fraction and decimal.

Summary: 14/9 minus 1/15 = 67/45
Since both fractions have unequal denominators, 14/9 minus 1/15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/9 and fraction 1/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 15. 45 is the LCM of 9 and 15. Multiplying the LCM 45 with the numerators and denominators of both fractions (14/9 x 45/45) - (1/15 x 45/45), and simplify further in order to have the common denominator. So the equivalent fraction for 14/9 is 70/45 and for 1/15 is 3/45. By simplifying this fraction subtraction 70/45 - 3/45, it becomes 67/45.

CALCULATION: 14/9 - 1/15 as a fraction
14/9 - 1/15 = (?)
14/9 - 1/15 = [(14 x 15) - (1 x 9)]/(9 x 15)
= (210 - 9)/135
= 201/135
= (3 x 67)/(3 x 45)
= 67/45
14/9 - 1/15 = 67/45
14/9 minus 1/15 as a fraction is 67/45.

where
14/9 is a improper fraction as a minuend,
1/15 is a proper fraction as a subtrahend,
67/45 is the difference between 14/9 and 1/15.

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14/9 minus 1/15 as a decimal
14/9 - 1/15 = 67/45
67/45 = 1.4889
(14/9) - (1/15) as a decimal is 1.4889

where
1.4889 is the difference between 14/9 and 1/15.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/15 from 14/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 14/9 minus 1/15.
1. LCM method
2. Cross multiplication method.

(14/9) - (1/15) using LCM Method:
What is 14/9 minus 1/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 1/15

What to be found?
(14/9) - (1/15) = ?
Find what's the difference between 14/9 and 1/15.

step 2 Compare the denominators of fractions 14/9 and 1/15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/9 and 1/15 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 14/9 and 1/15:
The LCM of 9 and 15 is 45.

step 4 Write the fractions 14/9 and 1/15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/9 - 1/15
= [(14 x 45)/(9 x 45)] - [(1 x 45)/(15 x 45)]

step 5 Simplify the expression to have common denominator:
= 70/45 - 3/45

step 6 Take the common values out and rewrite the above expression like the below:
= 1/45 x (70/1 - 3/1)
= 1/45 x (70 - 3)

step 7Simplify the above expression further:
= 1/45 x 67
= 67/45
14/9 - 1/15 = 67/45

Hence,
14/9 minus 1/15 as a fraction is 67/45.

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14/9 - 1/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/9
Fraction B: 1/15

What to be found?
(14/9)-(1/15) = ?
Find what's the difference between 14/9 and 1/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 15), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 15) and rewrite the equation as like the below:
= (14 x 15) - (1 x 9)/(9 x 15)

step 3 Simplify and rewrite the fraction:
= (210 - 9)/135
= 201/135
= 67/45
14/9 - 1/15 = 67/45

Hence,
14/9 minus 1/15 in fraction is 67/45