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.
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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.
- \(\color{blue}{4\:×\:\frac{2}{3}\:×\:3\:\frac{1}{5}}\)
- \(\color{blue}{\frac{1}{7}\:×\:1\:\frac{8}{5}\:×\:2}\)
- \(\color{blue}{2\:×\:8\:\frac{1}{4}\:×\:\frac{1}{4}}\)
- \(\color{blue}{3\:×\:5\:\frac{1}{3}\:×\:\frac{4}{7}}\)
- \(\color{blue}{8\frac{8}{15}}\)
- \(\color{blue}{\frac{26}{35}}\)
- \(\color{blue}{4\frac{1}{8}}\)
- \(\color{blue}{9\frac{1}{7}}\)
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