Question

The fraction models represent two fractions of the same whole. How much of the 5/6 is in the 1/3?

1. 2/5
2. 1/2
3. 5/9
4. 6/9

Answer 1

To find how much of the fraction 5/6 is in 1/3, divide 1/3 by 5/6, which simplifies to 2/5 after multiplying by the reciprocal and simplifying the resulting fraction.

Step-by-step explanation:

The question is asking how much of the fraction 5/6 is contained in 1/3. To find this, we need to determine which fraction results when we divide 1/3 by 5/6. Let's perform this calculation step-by-step:

1. Write the problem as a division expression: (1/3) ÷ (5/6).
2. Convert the division of fractions into multiplication by the reciprocal: (1/3) × (6/5).
3. Multiply the numerators together: 1 × 6 = 6.
4. Multiply the denominators together: 3 × 5 = 15.
5. Combine the multiplied numerator and denominator to create the new fraction: 6/15.
6. Simplify the fraction by finding the greatest common divisor between the numerator and the denominator. In this case, the GCD of 6 and 15 is 3.
7. Divide both the numerator and the denominator by the GCD: (6 ÷ 3)/(15 ÷ 3) = 2/5.

Therefore, 1/3 of 5/6 is 2/5, which means the correct answer to the question is option 1 (2/5).