How to Multiply Mixed Numbers | Multiplying Fractions | Part 01 | MathOGuide

How to Multiply Mixed Numbers | Multiplying Fractions | MathOGuide

Multiplying mixed numbers involves a few steps. Here's a straightforward process:

1. **Convert Mixed Numbers to Improper Fractions**:
For each mixed number, multiply the whole number part by the denominator.
Add the result to the numerator.
Place this result over the original denominator.

For example,
for the mixed number (3 whole 1/2)
3*2 + 1 = 7

The improper fraction is 7/2).

2. **Multiply the Improper Fractions**:
Multiply the numerators together.

Multiply the denominators together.

For example, to multiply
7/2 by 5/3

Numerator: (7 * 5 = 35)
Denominator: (2 * 3 = 6)

The product is (35/6).

3. **Simplify the Result (if possible)**:

Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD).

In this case, (35/6) is already in its simplest form.

4. **Convert Back to a Mixed Number (if desired)**:

Divide the numerator by the denominator to get the whole number part.

he remainder becomes the numerator of the fractional part.

For (35/6):
(35 ÷ 6 = 5 and remainder is 5

So, the mixed number is 5 whole 5/6

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