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.