1 3/4 Cups Times 3

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

Multiplying Fractions: 1 3/4 Cups x 3

This article will guide you through multiplying a mixed number by a whole number, specifically: 1 3/4 cups x 3.

Converting Mixed Numbers

Before multiplying, it's essential to convert the mixed number (1 3/4) into an improper fraction.

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

Now we have: 7/4 x 3

Multiplying Fractions

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

  • Numerators: 7 x 3 = 21
  • Denominators: 4 x 1 = 4

This gives us 21/4.

Converting Back to Mixed Number

Finally, let's convert the improper fraction back into a mixed number:

  • Divide the numerator by the denominator: 21 ÷ 4 = 5 with a remainder of 1
  • The quotient becomes the whole number: 5
  • The remainder becomes the numerator: 1
  • Keep the same denominator: 4

Therefore, 1 3/4 cups x 3 equals 5 1/4 cups.

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