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Subtract mixed fraction calculator

Fraction
Mixed Simple Proper Improper
Operation
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3
3
2
5
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2
2
1
5
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1
1
1
5

Mixed fraction subtraction formula

a p q - b r s = ( ( ( a × q ) + p ) × s ) - ( ( ( b × s ) + r ) × q ) q × s

More about mixed fraction subtraction

Tricks

1. Subtract the whole numbers separately from the fractions.
2. If the denominators are already the same, then simply subtract the numerators and keep the denominator the same.
3. Combine the whole numbers difference with the fraction difference to get the final mixed number difference.

Rules

1. Ensure both fractions have the common denominator.
2. In mixed fraction, fraction always in a combination of a whole number and a fraction.
3. In the fraction part, the numerator is always less than the denominator.

Practise mixed fraction subtraction

Examples

Example 1: Find the mixed fraction subtraction of 5 3/4 - 2 1/2.
Solution: Convert into improper fractions i.e 5 3/4 = 23/4 and 2 1/2 = 5/2
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 23/4 and 10/4
Subtract both fractions then convert into mixed fraction i.e 23/4 - 10/4 = 13/4 = 3 1/4
Mixed fraction subtraction of 5 3/4 - 2 1/2 = 3 1/4.

Example 2: Find the mixed fraction subtraction of 7 1/3 - 4 2/5.
Solution: Convert into improper fractions i.e 7 1/3 = 22/3 and 4 2/5 = 22/5
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 110/15 and 66/15
Subtract both fractions and convert into mixed fraction
i.e 110/15 - 66/15 = 44/15 = 2 14/15
Mixed fraction subtraction of 7 1/3 - 4 2/5 = 2 14/15.

Example 3: Find the mixed fraction subtraction of 9 1/2 - 3 3/4.
Solution: Convert into improper fractions i.e 9 1/2 = 19/2 and 3 3/4 = 15/4
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 38/4 and 15/4
Subtract both fractions and convert into mixed fraction
i.e 38/4 - 15/4 = 23/4 = 5 3/4
Mixed fraction subtraction of 9 1/2 - 3 3/4 = 5 3/4.

Example 4: Find the mixed fraction subtraction of 6 2/5 - 2 4/9.
Solution: Convert into improper fractions i.e 6 2/5 = 32/5 and 2 4/9 = 22/9
Denominators are unlike, make the denominator same by finding LCM of denominators. i.e 288/45 and 110/45
Subtract both fractions and convert into mixed fraction
i.e 288/45 - 110/45 = 178/45 = 3 43/45
Mixed fraction subtraction of 6 2/5 - 2 4/9 = 3 43/45.

Example 5: Find the mixed fraction subtraction of 8 3/4 - 5 1/3.
Solution: Convert into improper fractions i.e 8 3/4 = 35/4 and 5 1/3 = 16/3
Denominators are unlike, make the denominator same by finding LCM of denominators.
i.e 105/12 and 64/12
Subtract both fractions and convert into mixed fraction
i.e 105/12 - 64/12 = 41/12 = 3 5/12
Mixed fraction subtraction of 8 3/4 - 5 1/3 = 3 5/12.

Exercise

1. 3 1/6 - 1 2/6 = 1 5/6
 2. 7 10/20 - 3 5/20 = 4 1/20
 3. 6 3/15 - 3 4/15 = 2 14/15
 4. 3 2/7 - 1 5/6 = 1 19/42
 5. 19 1/2 - 17 1/5 = 2 3/10
 6. 10 1/6 - 6 5/8 = 3 13/24
 7. 12 3/15 - 7 8/10 = 4 2/30
 8. 15 2/3 - 12 5/6 = 2 5/6
 9. 11 4/5 - 6 1/12 = 5 43/60
 10. 13 2/7 - 9 4/5 = 3 17/35

Subtract mixed fraction calculator FAQ

What is mixed fraction subtraction?
The mixed fraction subtracting involves subtracting two or more mixed numbers to form a single mixed number. This involves subtracting the whole numbers together, subtracting the fractions together, and then combining the whole number and fractional parts to obtain the final mixed number result.
What are the steps to find mixed fraction subtraction?
Step 1: Convert mixed numbers to improper fractions by multiplying the whole number by the denominator, then adding the numerator, while keeping the denominator the same.
Step 2: To subtract the improper fractions, they must have the like denominator. If they do not, find a common denominator, subtract the numerators together and the denominator remains the same.
Step 3: Convert the result to a mixed number by dividing the numerator by the denominator. The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same.
How to subtract mixed fractions with whole numbers?
To subtract mixed fractions with whole numbers, first subtract the whole number part of the mixed fraction with the given whole number and finally combine it with the fractional part to get the result.
Could you provide examples from real-life scenarios where the subtraction of mixed fractions is commonly applied?
Subtraction of mixed fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, time management, production and transportation. For example, in transportation, if delivery truck starts with 20 and 1/2 gallons of fuel. If 5 and 3/4 gallons are used during the journey, by subtracting 5 3/4 from 20 1/2 gives the remaining fuel which is 14 and 3/4 gallons.
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