1 3/4 Times 2 1/2 In Fraction Form

2 min read Jun 17, 2024
1 3/4 Times 2 1/2 In Fraction Form

Multiplying Mixed Numbers: 1 3/4 x 2 1/2

This article will guide you through multiplying the mixed numbers 1 3/4 and 2 1/2 and expressing the answer in fraction form.

Converting Mixed Numbers to Improper Fractions

The first step is to convert the mixed numbers into improper fractions.

  • 1 3/4: Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1 * 4) + 3 = 7, so the improper fraction is 7/4.

  • 2 1/2: Multiply the whole number (2) by the denominator (2) and add the numerator (1). Keep the same denominator. This gives us (2 * 2) + 1 = 5, so the improper fraction is 5/2.

Multiplying Fractions

Now, we multiply the two improper fractions:

(7/4) * (5/2)

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

(7 * 5) / (4 * 2)

This simplifies to 35/8.

Converting Back to a Mixed Number

Finally, we convert the improper fraction back to a mixed number.

Divide the numerator (35) by the denominator (8): 35 ÷ 8 = 4 with a remainder of 3.

This means the answer is 4 3/8.

Conclusion

Therefore, 1 3/4 times 2 1/2 equals 4 3/8. Remember to always convert mixed numbers to improper fractions before multiplying, and then convert the result back to a mixed number if necessary.