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

Answer
1 3/4 × 2 1/4 = 3 1516
Fraction
6316
Mixed number
3 1516
Decimal
3.9375
Percent
393.75%

Step by step

  1. Write each number as a fraction
    1 3/4 = (1 × 4 + 3)/4 = 7/4
    2 1/4 = (2 × 4 + 1)/4 = 9/4
  2. Multiply the tops, then the bottoms
    (7 × 9)/(4 × 4) = 63/16
  3. Write it as a mixed number
    63 ÷ 16 = 3 remainder 15, so 63/16 = 3 15/16

Check: 63/16 ÷ 9/4 = 7/4 ✓

Picture

7/4
9/4
= 63/16

Each bar is one whole, split into equal parts.

Related problems

1 3/4 × 2 1/21 3/4 ÷ 2

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    Questions people ask

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

    1 3/4 times 2 1/4 is 3 15/16, which is 63/16 as an improper fraction. As a decimal it's 3.9375.

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

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

    63/16.