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What is 1 1/2 times 3 3/4?

Answer
1 1/2 × 3 3/4 = 5 58
Fraction
458
Mixed number
5 58
Decimal
5.625
Percent
562.5%

Step by step

  1. Write each number as a fraction
    1 1/2 = (1 × 2 + 1)/2 = 3/2
    3 3/4 = (3 × 4 + 3)/4 = 15/4
  2. Multiply the tops, then the bottoms
    (3 × 15)/(2 × 4) = 45/8
  3. Write it as a mixed number
    45 ÷ 8 = 5 remainder 5, so 45/8 = 5 5/8

Check: 45/8 ÷ 15/4 = 3/2 ✓

Picture

3/2
15/4

Each bar is one whole, split into equal parts.

Related problems

1 1/2 × 2 2/31 1/2 × 2/31 1/2 × 2 1/21 1/2 × 21 1/2 × 2 1/41 1/2 × 2 3/41 1/2 ÷ 4

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    Questions people ask

    What is 1 1/2 times 3 3/4?

    1 1/2 times 3 3/4 is 5 5/8, which is 45/8 as an improper fraction. As a decimal it's 5.625.

    How do you work out 1 1/2 × 3 3/4?

    Turn any mixed or whole numbers into fractions, multiply the numerators and the denominators, then simplify. The steps above show each line.

    What is 1 1/2 times 3 3/4 as an improper fraction?

    45/8.