How to Multiply Three or More Mixed Numbers, Fractions & Whole Numbers?

A Step-by-step Guide to Multiplying Three or More Mixed Numbers, Fractions & Whole Numbers

To multiply three or more mixed numbers, fractions, and whole numbers, follow these steps:

Step 1:

Convert the mixed numbers and the whole numbers to an improper fraction.

Step 2:

Multiply the numerators.

Step 3:

Multiply the denominators.

Step 4:

Simplify the product.

Multiplying Three or More Mixed Numbers, Fractions & Whole Numbers – Examples 1

Multiply \(3 \frac{3}{4}×2 \frac{1}{3}×3=\)?

Step 1:

Convert mixed numbers to fractions. \(3 \frac{3}{4}=\frac{15}{4}, 2 \frac{1}{3}=\frac{7}{3}\)

Step 2:

Write \(3\) as an improper fraction, \(\frac{3}{1}\)

Step 3:

Multiply the first factor by the second factor. \(\frac{15}{4}×\frac{7}{3}=\frac{105}{12}\)

Step 4:

Multiply the product by the third factor. \(\frac{105}{12}×\frac{3}{1}=\frac{315}{12}\)

Step 5:

Simplify the product. \(\frac{315}{12}=26 \frac{3}{12}=26 \frac{1}{4}\)

Multiplying Three or More Mixed Numbers, Fractions & Whole Numbers – Examples 2

Multiply \(4 \frac{4}{5}×2×\frac{3}{4}=\)?

Step 1:

Convert the mixed number to a fraction. \(4 \frac{4}{5}=\frac{24}{5}\)

Step 2:

Write \(2\) as an improper fraction. \(\frac{2}{1}\)

Step 3:

Multiply the first factor by the second factor. \(\frac{24}{5}×\frac{2}{1}=\frac{48}{5}\)

Step 4:

Multiply the product by the third factor. \(\frac{48}{5}×\frac{3}{4}=\frac{144}{20}\)

Step 5:

Simplify the product. \(\frac{144}{20}=7 \frac{4}{20}=7 \frac{1}{5}\)

Exercises for Multiplying Three or More Mixed Numbers, Fractions & Whole Numbers

Multiply.

1. \(\color{blue}{4\:×\:\frac{2}{3}\:×\:3\:\frac{1}{5}}\)
2. \(\color{blue}{\frac{1}{7}\:×\:1\:\frac{8}{5}\:×\:2}\)
3. \(\color{blue}{2\:×\:8\:\frac{1}{4}\:×\:\frac{1}{4}}\)
4. \(\color{blue}{3\:×\:5\:\frac{1}{3}\:×\:\frac{4}{7}}\)

1. \(\color{blue}{8\frac{8}{15}}\)
2. \(\color{blue}{\frac{26}{35}}\)
3. \(\color{blue}{4\frac{1}{8}}\)
4. \(\color{blue}{9\frac{1}{7}}\)