Multiplying Fractions: 1 2/7 x 2/3
Let's break down how to multiply the mixed number 1 2/7 by the fraction 2/3 and simplify the answer.
Step 1: Convert the Mixed Number to an Improper Fraction
- Multiply the whole number by the denominator: 1 x 7 = 7
- Add the numerator: 7 + 2 = 9
- Keep the same denominator: 9/7
Now, our problem looks like this: 9/7 x 2/3
Step 2: Multiply the Numerators and Denominators
- Numerators: 9 x 2 = 18
- Denominators: 7 x 3 = 21
This gives us the fraction 18/21.
Step 3: Simplify the Fraction
- Find the greatest common factor (GCD) of 18 and 21: The GCD is 3.
- Divide both numerator and denominator by the GCD: 18 ÷ 3 = 6 and 21 ÷ 3 = 7
Therefore, 1 2/7 x 2/3 simplified to its simplest form is 6/7.