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})

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