What is 1/4 minus 1/17 in fraction?
1/4 minus 1/17 equals to 13/68 in fraction form.
1/4 - 1/17 in fraction form
Learn how to find what is 1/4 minus 1/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 1/17 as a fraction and decimal.
Summary: 1/4 minus 1/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 1/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 68 is the LCM of 4 and 17. Multiply the LCM 68 with all the numerators and denominators of both fractions (1/4 x 68/68) - (1/17 x 68/68) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 13/68.
1/4-1/17 as a fraction
1/4 - 1/17 = (?)
1/4 - 1/17 = [(1 x 17) - (1 x 4)]/(4 x 17)
= (17 - 4)/68
= 13/68
1/4 - 1/17 = 13/68
1/4 minus 1/17 as a fraction is 13/68.
where
1/4 is a fraction as a minuend,
1/17 is a fraction as a subtrahend,
13/68 is the difference between 1/4 and 1/17.
1/4 minus 1/17 as a decimal
1/4 - 1/17 = 13/68
13/68 = 0.1912
1/4-1/17 as a decimal is 0.1912
where
0.1912 is the difference between 1/4 and 1/17.
How to find 1/4-1/17 as a fraction?
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/17 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 1/17.
1. LCM method
2. Cross multiplication method.
1/4-1/17 using LCM Method:
What is 1/4 minus 1/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/17
What to be found?
1/4-1/17 = ?
Find what's the difference between 1/4 and 1/17.
step 2 Compare the denominators of fractions 1/4 and 1/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 1/17 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 1/4 and 1/17:
The LCM of 4 and 17 is 68.
step 4 Write the fractions 1/4 and 1/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4-1/17
=(1 x 68)/(4 x 68)-(1 x 68)/(17 x 68)
step 5 Simplify the expression to have common denominator:
=17/68-4/68
step 6 Take the common values out and rewrite the above expression like the below:
=1/68 x (17/1-4/1)
=1/68 x (17 - 4)
step 7Simplify the above expression further:
=1/68 x 13
=13/68
1/4-1/17=13/68
Hence,
1/4 minus 1/17 equals to 13/68 in fraction.
1/4-1/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/17
What to be found?
1/4-1/17 = ?
Find what's the difference between 1/4 and 1/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 17) and rewrite the equation as like the below:
= (1 x 17) - (1 x 4)/(4 x 17)
step 3 Simplify and rewrite the fraction:
= (17 - 4)/68
1/4-1/17 = 13/68
Hence,
1/4 minus 1/17 = 13/68