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

In this step-by-step guide, we'll learn how to multiply more than three whole numbers, fractions, or mixed numbers with sample questions and solutions. ## A Step-by-step Guideto 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 forMultiplying 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. $$\color{blue}{9\frac{1}{7}}$$

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