1/6 - 2/45 as a fraction

Learn how to find what is 1/6 minus 2/45 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 - 2/45 as a fraction and decimal.

Summary: 1/6 minus 2/45 = 11/90
Since both fractions have unequal denominators, 1/6 minus 2/45 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/6 and fraction 2/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 45. 90 is the LCM of 6 and 45. Multiplying the LCM 90 with the numerators and denominators of both fractions (1/6 x 90/90) - (2/45 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 1/6 is 15/90 and for 2/45 is 4/90. By simplifying this fraction subtraction 15/90 - 4/90, it becomes 11/90.

Pie Chart Representation: 1/6 - 2/45 = 11/90

CALCULATION: 1/6 - 2/45 as a fraction
1/6 - 2/45 = (?)
1/6 - 2/45 = [(1 x 45) - (2 x 6)]/(6 x 45)
= (45 - 12)/270
= 33/270
= (3 x 11)/(3 x 90)
= 11/90
1/6 - 2/45 = 11/90
1/6 minus 2/45 as a fraction is 11/90.

where
1/6 is a proper fraction as a minuend,
2/45 is a proper fraction as a subtrahend,
11/90 is the difference between 1/6 and 2/45.

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1/6 minus 2/45 as a decimal
1/6 - 2/45 = 11/90
11/90 = 0.1222
(1/6) - (2/45) as a decimal is 0.1222

where
0.1222 is the difference between 1/6 and 2/45.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/45 from 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 2/45.
1. LCM method
2. Cross multiplication method.

(1/6) - (2/45) using LCM Method:
What is 1/6 minus 2/45 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/45

What to be found?
(1/6) - (2/45) = ?
Find what's the difference between 1/6 and 2/45.

step 2 Compare the denominators of fractions 1/6 and 2/45 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 2/45 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 1/6 and 2/45:
The LCM of 6 and 45 is 90.

step 4 Write the fractions 1/6 and 2/45 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/6 - 2/45
= [(1 x 90)/(6 x 90)] - [(2 x 90)/(45 x 90)]

step 5 Simplify the expression to have common denominator:
= 15/90 - 4/90

step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (15/1 - 4/1)
= 1/90 x (15 - 4)

step 7Simplify the above expression further:
= 1/90 x 11
= 11/90
1/6 - 2/45 = 11/90

Hence,
1/6 minus 2/45 as a fraction is 11/90.

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1/6 - 2/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 2/45

What to be found?
(1/6)-(2/45) = ?
Find what's the difference between 1/6 and 2/45.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 45), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 45) and rewrite the equation as like the below:
= (1 x 45) - (2 x 6)/(6 x 45)

step 3 Simplify and rewrite the fraction:
= (45 - 12)/270
= 33/270
= 11/90
1/6 - 2/45 = 11/90

Hence,
1/6 minus 2/45 in fraction is 11/90