What is 3/4 - 3/19 in fraction?
3/4 - 3/19 equals to 45/76 in fraction form.
Learn how to find what is 3/4 minus 3/19 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 3/19 as a fraction and decimal.
Summary: 3/4 minus 3/19 = 45/76
Since both fractions have unequal denominators, 3/4 minus 3/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 3/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 19. 76 is the LCM of 4 and 19. Multiplying the LCM 76 with the numerators and denominators of both fractions (3/4 x 76/76) - (3/19 x 76/76), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 57/76 and for 3/19 is 12/76. By simplifying this fraction subtraction 57/76 - 12/76, it becomes 45/76.
Pie Chart Representation: 3/4 - 3/19 = 45/76
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/19 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 3/19.
1. LCM method
2. Cross multiplication method.
(3/4) - (3/19) using LCM Method:
What is 3/4 minus 3/19 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/19
What to be found?
(3/4) - (3/19) = ?
Find what's the difference between 3/4 and 3/19.
step 2 Compare the denominators of fractions 3/4 and 3/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 3/19 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 3/4 and 3/19:
The LCM of 4 and 19 is 76.
step 4 Write the fractions 3/4 and 3/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 3/19
= [(3 x 76)/(4 x 76)] - [(3 x 76)/(19 x 76)]
step 5 Simplify the expression to have common denominator:
= 57/76 - 12/76
step 6 Take the common values out and rewrite the above expression like the below:
= 1/76 x (57/1 - 12/1)
= 1/76 x (57 - 12)
step 7Simplify the above expression further:
= 1/76 x 45
= 45/76
3/4 - 3/19 = 45/76
Hence,
3/4 minus 3/19 as a fraction is 45/76.
3/4 - 3/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/19
What to be found?
(3/4)-(3/19) = ?
Find what's the difference between 3/4 and 3/19.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 19), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 19) and rewrite the equation as like the below:
= (3 x 19) - (3 x 4)/(4 x 19)
step 3 Simplify and rewrite the fraction:
= (57 - 12)/76
3/4 - 3/19 = 45/76
Hence,
3/4 minus 3/19 in fraction is 45/76