Question

What are the numbers that will go in square A and square B on the board to complete the equation (4 1/5) * (5/21) * (1/2) in simplest form (no improper fractions)?

a) A = 5, B = 42
b) A = 1, B = 20
c) A = 5, B = 10
d) A = 4, B = 5

Answer 1

To complete the equation (4 1/5) * (5/21) * (1/2) in simplest form, multiply the given fractions together. The final result is 1/2.

Step-by-step explanation:

To complete the equation (4 1/5) * (5/21) * (1/2) in simplest form, we need to multiply the given fractions together. First, let's convert the mixed number 4 1/5 to an improper fraction. Multiplying the whole number 4 by the denominator 5 and adding the numerator 1 gives us a numerator of 21. The denominator remains 5, so the mixed number becomes 21/5. Next, we can multiply this fraction by 5/21 and then multiply the result by 1/2. The steps are as follows:

1. Multiply the numerators: 21 * 5 * 1 = 105
2. Multiply the denominators: 5 * 21 * 2 = 210
3. The final result is 105/210.
4. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 105: 105/210 ÷ 105/105 = 1/2.

Therefore, the numbers that will go in square A and square B on the board to complete the equation in simplest form are A = 1 and B = 2.