What is 1/8 - 2/45 in fraction?
1/8 - 2/45 equals to 29/360 in fraction form.
Learn how to find what is 1/8 minus 2/45 in fraction form just in a few minutes. We have covered the easiest method to write 1/8 - 2/45 as a fraction and decimal.
Summary: 1/8 minus 2/45 = 29/360
Since both fractions have unequal denominators, 1/8 minus 2/45 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/8 and fraction 2/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 45. 360 is the LCM of 8 and 45. Multiplying the LCM 360 with the numerators and denominators of both fractions (1/8 x 360/360) - (2/45 x 360/360), and simplify further in order to have the common denominator. So the equivalent fraction for 1/8 is 45/360 and for 2/45 is 16/360. By simplifying this fraction subtraction 45/360 - 16/360, it becomes 29/360.
Pie Chart Representation: 1/8 - 2/45 = 29/360
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 1/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/8 minus 2/45.
1. LCM method
2. Cross multiplication method.
(1/8) - (2/45) using LCM Method:
What is 1/8 minus 2/45 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/45
What to be found?
(1/8) - (2/45) = ?
Find what's the difference between 1/8 and 2/45.
step 2 Compare the denominators of fractions 1/8 and 2/45 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/8 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 1/8 and 2/45:
The LCM of 8 and 45 is 360.
step 4 Write the fractions 1/8 and 2/45 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/8 - 2/45
= [(1 x 360)/(8 x 360)] - [(2 x 360)/(45 x 360)]
step 5 Simplify the expression to have common denominator:
= 45/360 - 16/360
step 6 Take the common values out and rewrite the above expression like the below:
= 1/360 x (45/1 - 16/1)
= 1/360 x (45 - 16)
step 7Simplify the above expression further:
= 1/360 x 29
= 29/360
1/8 - 2/45 = 29/360
Hence,
1/8 minus 2/45 as a fraction is 29/360.
1/8 - 2/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/8
Fraction B: 2/45
What to be found?
(1/8)-(2/45) = ?
Find what's the difference between 1/8 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 8), and find the product of both denominators of Fraction A and Fraction B (8 x 45) and rewrite the equation as like the below:
= (1 x 45) - (2 x 8)/(8 x 45)
step 3 Simplify and rewrite the fraction:
= (45 - 16)/360
1/8 - 2/45 = 29/360
Hence,
1/8 minus 2/45 in fraction is 29/360