3/8 - 4/17 as a fraction

Learn how to find what is 3/8 minus 4/17 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 - 4/17 as a fraction and decimal.

Summary: 3/8 minus 4/17 = 19/136
Since both fractions have unequal denominators, 3/8 minus 4/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 4/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 17. 136 is the LCM of 8 and 17. Multiplying the LCM 136 with the numerators and denominators of both fractions (3/8 x 136/136) - (4/17 x 136/136), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 51/136 and for 4/17 is 32/136. By simplifying this fraction subtraction 51/136 - 32/136, it becomes 19/136.

Pie Chart Representation: 3/8 - 4/17 = 19/136

CALCULATION: 3/8 - 4/17 as a fraction
3/8 - 4/17 = (?)
3/8 - 4/17 = [(3 x 17) - (4 x 8)]/(8 x 17)
= (51 - 32)/136
= 19/136
3/8 - 4/17 = 19/136
3/8 minus 4/17 as a fraction is 19/136.

where
3/8 is a proper fraction as a minuend,
4/17 is a proper fraction as a subtrahend,
19/136 is the difference between 3/8 and 4/17.

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3/8 minus 4/17 as a decimal
3/8 - 4/17 = 19/136
19/136 = 0.1397
(3/8) - (4/17) as a decimal is 0.1397

where
0.1397 is the difference between 3/8 and 4/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/17 from 3/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/8 minus 4/17.
1. LCM method
2. Cross multiplication method.

(3/8) - (4/17) using LCM Method:
What is 3/8 minus 4/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 4/17

What to be found?
(3/8) - (4/17) = ?
Find what's the difference between 3/8 and 4/17.

step 2 Compare the denominators of fractions 3/8 and 4/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/8 and 4/17 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 3/8 and 4/17:
The LCM of 8 and 17 is 136.

step 4 Write the fractions 3/8 and 4/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 - 4/17
= [(3 x 136)/(8 x 136)] - [(4 x 136)/(17 x 136)]

step 5 Simplify the expression to have common denominator:
= 51/136 - 32/136

step 6 Take the common values out and rewrite the above expression like the below:
= 1/136 x (51/1 - 32/1)
= 1/136 x (51 - 32)

step 7Simplify the above expression further:
= 1/136 x 19
= 19/136
3/8 - 4/17 = 19/136

Hence,
3/8 minus 4/17 as a fraction is 19/136.

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3/8 - 4/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 4/17

What to be found?
(3/8)-(4/17) = ?
Find what's the difference between 3/8 and 4/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 17), find the product of numerator of Fraction B and denominator of Fraction A (4 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 17) and rewrite the equation as like the below:
= (3 x 17) - (4 x 8)/(8 x 17)

step 3 Simplify and rewrite the fraction:
= (51 - 32)/136
3/8 - 4/17 = 19/136

Hence,
3/8 minus 4/17 in fraction is 19/136