Question

write 3 3/4 as an improper fraction then multiply that improper fraction by 1/6 then write the product as a reduced fraction

Answer 1

3 3/4 as an improper fraction is 15/4. When multiplied by 1/6, the result is 15/24, which reduces to 5/8 after dividing both the numerator and denominator by their GCD, which is 3.

Step-by-step explanation:

To write 3 3/4 as an improper fraction, you first multiply the whole number (3) by the denominator (4) and then add the numerator (3) to get the improper fraction numerator. So, it would be 3 × 4 + 3 = 12 + 3 = 15. As the denominator remains the same, the improper fraction is 15/4.

Next, you multiply the improper fraction 15/4 by 1/6. When multiplying fractions, you multiply the numerators together and the denominators together. So, 15 × 1 = 15 and 4 × 6 = 24, resulting in the fraction 15/24.

To reduce the fraction, you find the greatest common divisor (GCD) of 15 and 24, which is 3. Divide both numerator and denominator by 3 to get the reduced fraction. Therefore, 15/24 ÷ 3/3 = 5/8, which is the final reduced product.

Answer 2

5/8

Step-by-step explanation:

First we need to write 3 3/4 as improper fraction

3 3/4 = 15/4

Multiplying 15/4 with 1/6

15/4 * 1/6

= (15*1)/(4*6)

= 15/24

Express the result as a reduced fraction

= 15/24

= (3*5)/(3*8)

= 3/3 * 5/8

= 1 * 5/8

= 5/8

Hence the required answer is 5/8