1 1/4 X 2/3 As A Fraction

2 min read Jun 17, 2024
1 1/4 X 2/3 As A Fraction

Multiplying Fractions: 1 1/4 x 2/3

Multiplying fractions can seem daunting, but it's actually quite simple. Let's break down how to multiply 1 1/4 x 2/3.

Step 1: Convert Mixed Numbers to Improper Fractions

First, we need to convert the mixed number 1 1/4 into an improper fraction.

  • Multiply the whole number (1) by the denominator (4): 1 x 4 = 4
  • Add the numerator (1): 4 + 1 = 5
  • Keep the same denominator (4): 5/4

Now our problem looks like this: 5/4 x 2/3

Step 2: Multiply the Numerators and Denominators

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

  • Numerators: 5 x 2 = 10
  • Denominators: 4 x 3 = 12

This gives us the fraction 10/12.

Step 3: Simplify (If Possible)

The fraction 10/12 can be simplified by finding the greatest common factor (GCF) of 10 and 12, which is 2. Divide both the numerator and denominator by 2:

  • 10 ÷ 2 = 5
  • 12 ÷ 2 = 6

Therefore, the simplified answer is 5/6.

Conclusion

So, 1 1/4 x 2/3 is equal to 5/6. Remember to follow these simple steps to multiply any fractions.

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