1 3/4 Cups Times 2

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

Multiplying Mixed Numbers: 1 3/4 Cups x 2

Let's explore how to multiply a mixed number, like 1 3/4 cups, by 2.

Understanding Mixed Numbers

A mixed number combines a whole number and a fraction. In our case, 1 3/4 cups represents one whole cup plus three-quarters of a cup.

Converting to an Improper Fraction

To multiply easily, it's best to convert the mixed number into an improper fraction:

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

Now, 1 3/4 cups is equivalent to 7/4 cups.

Multiplying Fractions

To multiply fractions, we multiply the numerators and the denominators:

  • (7/4) x 2 = (7 x 2) / (4 x 1) = 14/4

Simplifying the Result

The fraction 14/4 can be simplified. 14 and 4 both share the common factor of 2. Dividing both the numerator and denominator by 2, we get:

  • 14/4 = (14 ÷ 2) / (4 ÷ 2) = 7/2

Converting Back to a Mixed Number

The improper fraction 7/2 can be converted back to a mixed number:

  1. Divide the numerator (7) by the denominator (2): 7 ÷ 2 = 3 with a remainder of 1.
  2. The quotient (3) becomes the whole number part: 3
  3. The remainder (1) becomes the numerator of the fraction: 1
  4. Keep the same denominator (2): 3 1/2

Answer

Therefore, 1 3/4 cups multiplied by 2 equals 3 1/2 cups.

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