1 1/4 Times 1 3/4

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

Calculating 1 1/4 times 1 3/4

This article will guide you through calculating 1 1/4 times 1 3/4. We'll break down the process into manageable steps to make it easy to follow.

Step 1: Convert Mixed Numbers to Fractions

First, we need to convert the mixed numbers into fractions.

  • 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives us (1*4 + 1)/4 = 5/4.

  • 1 3/4: Similarly, multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1*4 + 3)/4 = 7/4.

Step 2: Multiply the Fractions

Now that we have both numbers as fractions, we can multiply them.

  • (5/4) * (7/4) = (5 * 7) / (4 * 4)

Step 3: Simplify the Result

Multiply the numerators and the denominators. This gives us 35/16.

Step 4: Convert back to a Mixed Number (Optional)

Since the result is an improper fraction, we can optionally convert it back to a mixed number.

  • Divide the numerator (35) by the denominator (16). 35 divided by 16 is 2 with a remainder of 3.
  • This means the mixed number is 2 3/16.

Conclusion

Therefore, 1 1/4 times 1 3/4 is equal to 35/16 or 2 3/16.