3/4 minus 2/11 as a fraction

3/4 - 2/11 as a fraction provides the detailed information about what is 3/4 minus 2/11 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
3/4-2/11 equals to
3/4 - 2/11 = (?)
3/4 - 2/11 = [(3 x 11) - (2 x 4)]/(4 x 11)
= (33 - 8)/44
= 25/44
3/4 - 2/11 = 25/44
3/4 minus 2/11 is equal to 25/44
where
3/4 is a fraction as a minuend,
2/11 is a fraction as a subtrahend,
25/44 is the difference between 3/4 and 2/11.
3/4 minus 2/11 as a decimal
3/4 - 2/11 = 25/44
25/44 = 0.5682
3/4-2/11 as a decimal is 0.5682
where
0.5682 is the difference between 3/4 and 2/11.
How-to: 3/4 - 2/11 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 3/4 minus 2/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/11
What to be found?
3/4-2/11 = ?
Find what's the difference between 3/4 and 2/11.
step 2 Compare the denominators of fractions 3/4 and 2/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 2/11 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 2/11:
The LCM of 4 and 11 is 44.
step 4 Write the fractions 3/4 and 2/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4-2/11
=(3 x 44)/(4 x 44)-(2 x 44)/(11 x 44)
step 5 Simplify the expression to have common denominator:
=33/44-8/44
step 6 Take the common values out and rewrite the above expression like the below:
=1/44 x (33/1-8/1)
=1/44 x (33 - 8)
step 7Simplify the above expression further:
=1/44 x 25
=25/44
3/4-2/11=25/44
Hence,
3/4 minus 2/11 equals to 25/44 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 2/11
What to be found?
3/4-2/11 = ?
Find what's the difference between 3/4 and 2/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 11), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 11) and rewrite the equation as like the below:
= (3 x 11) - (2 x 4)/(4 x 11)
step 3 Simplify and rewrite the fraction:
= (33 - 8)/44
3/4-2/11 = 25/44
Hence,
3/4 minus 2/11 = 25/44
