Subtracting Mixed Fractions Calculator
Subtracting mixed fractions calculator is online mathematical calculator which helps to find the difference between two mixed fractions.A mixed fraction is a type of fraction in which there is a whole number part and a fractional part.
What is Subtracting Mixed Fractions Calculator?
Subtracting Mixed Fractions Calculator is an online tool which helps to calculate the difference between two mixed fractions. Subtracting mixed fractions calculator helps you to subtract two mixed fractions within a few seconds.
Subtracting Mixed Fractions Calculator
NOTE: Enter up to 2 digits in each input box.
How to Use the Subtracting Mixed Fractions Calculator?
Please follow the below steps to subtract two mixed fractions:
- Step 1: Enter the two mixed fractions in the given input boxes.
- Step 2: Click on the "Subtract" button to find difference of the two mixed fractions.
- Step 3: Click on the "Reset" button to find the difference for different set of mixed fractions.
How to Subtract Mixed Fractions?
- Step 1: Convert the mixed fractions into improper fractions.
- Step 2: Check the values of denominators after converting them into improper fractions.
- Step 3: If the denominator values are the same, subtract the numerators and express the fraction in its simplest form.
- Step 4: If the denominator values are different, find LCM of the denominators to make them equal and then subtract the numerators.
Solved Examples on Subtracting Mixed Fractions Calculator
-
Example 1:
Subtract \(7 \frac{3}{2}\) and \(5\frac{1}{2}\)
Solution:
We first convert the mixed fractions into improper fractions.
\(7 \frac{3}{2}\)= \(\frac{(7*2)+3}{2}\)= \(\frac{17}{2}\)
\(5 \frac{1}{2}\) =\(\frac{(5*2)+1}{2}\) = \(\frac{11}{2}\)
Now, \(\frac{17}{2}\)- \(\frac{11}{2}\) = \(\frac{17-11}{2}\) =\(\frac{6}{2}\)= 3
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Example 2:
Subtract \(5 \frac{2}{3}\) and \(2 \frac{5}{4} \)
Solution:
We first convert the mixed fractions into improper fractions.
\(5 \frac{2}{3}\)= \(\frac{(5*3)+2}{3}\) = \(\frac{17}{3}\)
\(2 \frac{5}{4} \) = \(\frac{(2*4)+5}{4}\)= \(\frac{13}{4}\)
Now, \(\frac{17}{3}\)- \(\frac{13}{4}\)( As the denominator values are different, take LCM of denominators, that is, LCM of (3,4) which is 12.
=\(\frac{17*4}{12}\) -\(\frac{13*3}{12}\)
=\(\frac{68}{12}\) - \(\frac{39}{12}\)
=\(\frac{68-39}{12}\)
=\(\frac{29}{12}\)
Similarly, you can try the calculator and find the difference for the following mixed fractions.
1) \(2 \frac{5}{4}\) and \(3 \frac{8}{4}\) 2) \(3 \frac{8}{7}\) and \(4 \frac{3}{5}\)
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