What is 2/6 - 1/45 in fraction?
2/6 - 1/45 equals to 14/45 in fraction form.
Learn how to find what is 2/6 minus 1/45 in fraction form just in a few minutes. We have covered the easiest method to write 2/6 - 1/45 as a fraction and decimal.
Summary: 2/6 minus 1/45 = 14/45
Since both fractions have unequal denominators, 2/6 minus 1/45 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/6 and fraction 1/45 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 (2/6 x 90/90) - (1/45 x 90/90), and simplify further in order to have the common denominator. So the equivalent fraction for 2/6 is 30/90 and for 1/45 is 2/90. By simplifying this fraction subtraction 30/90 - 2/90, it becomes 28/90.
Pie Chart Representation: 2/6 - 1/45 = 14/45
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/45 from 2/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/6 minus 1/45.
1. LCM method
2. Cross multiplication method.
(2/6) - (1/45) using LCM Method:
What is 2/6 minus 1/45 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/45
What to be found?
(2/6) - (1/45) = ?
Find what's the difference between 2/6 and 1/45.
step 2 Compare the denominators of fractions 2/6 and 1/45 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/6 and 1/45 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 2/6 and 1/45:
The LCM of 6 and 45 is 90.
step 4 Write the fractions 2/6 and 1/45 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/6 - 1/45
= [(2 x 90)/(6 x 90)] - [(1 x 90)/(45 x 90)]
step 5 Simplify the expression to have common denominator:
= 30/90 - 2/90
step 6 Take the common values out and rewrite the above expression like the below:
= 1/90 x (30/1 - 2/1)
= 1/90 x (30 - 2)
step 7Simplify the above expression further:
= 1/90 x 28
= 28/90
= 14/45
2/6 - 1/45 = 14/45
Hence,
2/6 minus 1/45 as a fraction is 14/45.
2/6 - 1/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/6
Fraction B: 1/45
What to be found?
(2/6)-(1/45) = ?
Find what's the difference between 2/6 and 1/45.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 45), find the product of numerator of Fraction B and denominator of Fraction A (1 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:
= (2 x 45) - (1 x 6)/(6 x 45)
step 3 Simplify and rewrite the fraction:
= (90 - 6)/270
= 84/270
= 14/45
2/6 - 1/45 = 14/45
Hence,
2/6 minus 1/45 in fraction is 14/45