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Multiply mixed fraction calculator

Fraction
Mixed Simple Proper Improper
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3
3
2
5
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2
2
1
5
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7
7
12
25

Mixed fraction multiplication formula

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

More about mixed fraction multiplication

Tricks

1. Multiply the whole numbers separately from the fractions.
2. Multiply the fractions part together, numerator by numerator and denominator by denominator.
3. Combine the whole number product to the fraction product to get the final mixed number product.

Rules

1. A numerator can only be multiplied by a numerator, and a denominator can only be multiplied by a denominator.
2. Multiplication of two or more fractions does not require a common denominator.
3. If the resulting fraction can be simplified, simplify it.

Practise mixed fraction multiplication

Examples

Example 1: Find the mixed fraction multiplication of 3 1/2 × 2 3/4.
Solution: Convert into improper fractions i.e 3 1/2 = 7/2 and 2 3/4 = 11/4
Multiply the numerators and denominators and convert into mixed fraction
i.e 77/8 = 9 5/8
Mixed fraction multiplication of 3 1/2 × 2 3/4 = 9 5/8.

Example 2: Find the mixed fraction multiplication of 4 2/10 × 3 6/8
Solution: Convert into improper fractions i.e 4 2/10 = 42/10 and 3 6/8 = 30/8
Multiply the numerators and denominators and convert into mixed fraction
i.e 1260/80 = 15 3/4
Mixed fraction multiplication of 4 2/10 × 3 6/8 = 15 3/4.

Example 3: Find the mixed fraction multiplication of 2 3/4 × 5 1/8.
Solution: Convert into improper fractions i.e 2 3/4 = 11/4 and 5 1/8 = 41/8
Multiply the numerators and denominators and convert into mixed fraction
i.e 451/32 = 14 3/32
Mixed fraction multiplication of 2 3/4 × 5 1/8 = 14 3/32.

Example 4: Find the mixed fraction multiplication of 1 5/6 × 3 2/3.
Solution: Convert into improper fractions i.e 1 5/6 = 11/6 and 3 2/3 = 11/3
Multiply the numerators and denominators and convert into mixed fraction
i.e 121/18 = 6 13/18
Mixed fraction multiplication of 1 5/6 × 3 2/3 = 6 13/18.

Example 5: Find the mixed fraction multiplication of 8 15/20 × 4 5/10.
Solution: Convert into improper fractions i.e 8 15/20 = 175/20 and 4 5/10 = 45/10
Multiply the numerators and denominators and convert into mixed fraction
i.e 7885/200 = 39 3/8
Mixed fraction multiplication of 8 15/20 × 4 5/10 = 39 3/8

Exercise

1. 2 2/3 × 4 3/4 = 12 2/3
 2. 13 6/8 × 4 6/7 = 66 11/14
 3. 9 4/16 × 3 5/6 = 35 11/24
 4. 2 7/12 × 7 6/12 = 19 3/8
 5. 13 2/9 × 3 12/15 = 50 11/45
 6. 10 5/15 × 2 2/10 = 22 11/15
 7. 7 3/8 × 4 1/4 = 31 11/32
 8. 7 1/2 × 11 2/3 = 87 1/2
 9. 14 3/4 × 10 2/3 = 157 11/12
 10. 9 7/14 × 12 4/7 = 119 3/7

Multiply mixed fraction calculator FAQ

What is mixed fraction multiplication?
Mixed fraction multiplication is the process of multiplying two or more mixed numbers to obtain a single mixed number. This involves multiplying the whole numbers together, multiplying the fractions together, and then combining the whole number and fractional parts of the product to form the final mixed number result.
How to multiply fractions with mixed numbers and whole numbers?
To multiply fractions with mixed numbers, first changing the mixed number into an improper fraction followed by multiplying them. To multiply fractions with whole numbers we will write the whole number in fractional form by writing the denominator as 1 followed by multiplying the two fractions.
What are the steps to find mixed fraction multiplication?
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: Multiply the improper fractions, multiply both the numerators and denominator.
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.
Can mixed fraction multiplication result in improper fractions?
Yes, mixed fraction multiplication can result in improper fractions. In such cases, you can convert the improper fraction back to a mixed fraction if necessary.
Could you provide examples from real-life scenarios where the multiplication of mixed fractions is commonly applied?
Multiplication of mixed fractions is commonly applied in various fields like cooking, construction, financial calculations, healthcare, time management, production and transportation. For example, in production, if production rates of team A is 3 5/2 bricks and team B is 4 2/5 bricks, multiplication of their production rates gives the combined productivity which is 14 24/25 bricks. ​
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