1 3/4 Times 2/3 In Fraction Form

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

Multiplying Fractions: Finding 1 3/4 Times 2/3

Let's break down how to multiply the mixed number 1 3/4 by the fraction 2/3.

Step 1: Convert the mixed number to a fraction

First, we need to convert the mixed number 1 3/4 to an improper fraction. To do this:

  • Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
  • Add the numerator of the fraction (3): 4 + 3 = 7
  • Keep the same denominator: 7/4

Now we have the problem: 7/4 * 2/3

Step 2: Multiply the numerators and the denominators

To multiply fractions, we simply multiply the numerators (the top numbers) and the denominators (the bottom numbers):

  • Numerator: 7 * 2 = 14
  • Denominator: 4 * 3 = 12

This gives us the fraction 14/12.

Step 3: Simplify the fraction (if possible)

The fraction 14/12 can be simplified. Both the numerator and denominator are divisible by 2:

  • 14 / 2 = 7
  • 12 / 2 = 6

Therefore, the simplified answer is 7/6.

Answer

1 3/4 times 2/3 is equal to 7/6.

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