1 3/4 Cup Times 2

2 min read Jun 17, 2024
1 3/4 Cup Times 2

Multiplying Mixed Numbers: 1 3/4 x 2

This article will guide you through the steps of multiplying a mixed number, 1 3/4, by 2.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our example, 1 3/4 represents one whole and three quarters.

Converting to an Improper Fraction

To make multiplication easier, we'll convert the mixed number into an improper fraction:

  1. Multiply the whole number by the denominator: 1 x 4 = 4
  2. Add the numerator: 4 + 3 = 7
  3. Keep the same denominator: 7/4

Now, our equation is (7/4) x 2.

Multiplying Fractions

To multiply fractions:

  1. Multiply the numerators: 7 x 2 = 14
  2. Multiply the denominators: 4 x 1 = 4
  3. Simplify if possible: 14/4 = 3 2/4 = 3 1/2

Therefore, 1 3/4 times 2 is equal to 3 1/2.

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