Q:

# How do you divide mixed numbers?

A:

Divide mixed fractions by converting them to improper fractions, then multiplying the dividend with the reciprocal of the divisor. If possible, simplify the answer by dividing the numerator and denominator with the greatest common factor.

## Keep Learning

1. Convert mixed fractions to improper fractions

Multiply the whole number with the denominator. Add the result to the numerator, then place the final number over the denominator to convert the mixed fraction to an improper fraction.

2. Find the reciprocal of the divisor

Flip the divisor so that the numerator is on the bottom and the denominator is on top. This is the reciprocal. Inverting the divisor allows you to find the answer as a whole number.

3. Multiply the dividend and the reciprocal

Multiply the numerators together, then multiply the denominators together to get the answer.

4. Simplify and check the result

Determine if the resulting numerator and denominator have a common factor. If so, find the greatest common factor to simplify the answer. Check your answer by multiplying the final result with the original divisor. The answer is correct if it is the same as the original dividend. To divide 2/3 by 4/5, multiply 2/3 by 5/4 to get 10/12, or 5/6 when simplified. To check the answer, multiply 5/6 with 4/5 to get 20/30, or 2/3.

Sources:

## Related Questions

• A: Appropriate math for third graders includes ordering numbers, rounding, adding and subtracting large numbers, telling time, measuring, basic geometry, frac... Full Answer >
Filed Under:
• A: The reciprocal of 3 is the fraction, one third or, in decimal, 0.3 recurring. A reciprocal is essentially a fraction that is inverted or "flipped" and the ... Full Answer >
Filed Under:
• A: If the divisor is 7 and the dividend is 84, solve it by attempting to divide 8 by 7. The result is 1 with a remainder of 1. Therefore, the first digit of t... Full Answer >
Filed Under:
• A: To find answers for long division problems, start by dividing the dividend, from left to right, with the divisor. Multiply the whole number answer with the... Full Answer >
Filed Under:
PEOPLE SEARCH FOR