1 2/3 X 4/5 As A Fraction

2 min read Jun 17, 2024
1 2/3 X 4/5 As A Fraction

Multiplying Fractions: 1 2/3 x 4/5

Let's break down how to multiply the mixed number 1 2/3 by the fraction 4/5.

Step 1: Convert the mixed number to an improper fraction.

  • Multiply the whole number (1) by the denominator of the fraction (3): 1 x 3 = 3
  • Add the numerator of the fraction (2): 3 + 2 = 5
  • Keep the same denominator (3).
  • This gives us the improper fraction 5/3.

Step 2: Multiply the fractions.

  • Multiply the numerators: 5 x 4 = 20
  • Multiply the denominators: 3 x 5 = 15
  • This gives us 20/15.

Step 3: Simplify the answer (optional).

  • Find the greatest common factor (GCD) of the numerator and denominator: The GCD of 20 and 15 is 5.
  • Divide both the numerator and denominator by the GCD: 20 ÷ 5 = 4 and 15 ÷ 5 = 3.
  • This simplifies our answer to 4/3.

Step 4: Convert back to a mixed number (optional).

  • Divide the numerator (4) by the denominator (3): 4 ÷ 3 = 1 with a remainder of 1.
  • The whole number of our mixed number is 1.
  • The numerator of our fraction is the remainder (1).
  • The denominator stays the same (3).
  • This gives us the mixed number 1 1/3.

Conclusion

Therefore, 1 2/3 x 4/5 is equal to 20/15 or 4/3, which can also be expressed as the mixed number 1 1/3.

Related Post


Featured Posts