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decode EVERYTHING about fractions.
Subtract the mixed numbers.
First, convert the mixed numbers to improper fractions.
Two fractions are subtracted by expanding them to the common denominator and then subtracting their numerators.
Check whether the result can be simplified.
If you would like to have a vivid explanation with a detailed example, please read the page Subtraction Fraction minus Fraction - The Thought Experiment
Step 1: convert the mixed numbers
|4||13||=||13 + 4 × 16||=||77|
|2||3||=||3 + 2 × 8||=||19|
Step 2: Determine the common denominator:
The common denominator is equal to the lowest common multiple (LCM) of the two denominators: 16 is a multiple of 8. Therefore the common denominator is 16
Step 3: Expand to the common denominator:
Expand the second fraction with the number 2
|77||-||19||=||77||-||19 × 2||=||77||-||38|
|16||8||16||8 × 2||16||16|
Step 4: Subtract the numerators:
Since the two fractions have a common denominator, you can subtract:
|77||-||38||=||77 - 38||=||39|
Step 5: Check whether the result can be simplified
The result can not be simplified.
Step 6: Convert into a mixed number
Divide the numerator by the denominator. The result is the whoe number, the remainder is the numerator of the mixed number. The denominator remains unchanged:
39 ÷ 16 = 2 Remainder 7
Whole Number: 2
Numerator: 7Denominator: 16
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