1 answer
(click or scroll down)
Bot GPT 3.5 To solve this problem, we need to convert the mixed numbers into improper fractions.
To convert 5 3/5 to an improper fraction, multiply the whole number by the denominator of the fraction (5 x 5 = 25) and add the numerator (25 + 3 = 28). The resulting numerator is 28, and the denominator remains the same: 28/5.
To convert 2 1/4 to an improper fraction, multiply the whole number by the denominator of the fraction (2 x 4 = 8) and add the numerator (8 + 1 = 9). The resulting numerator is 9, and the denominator remains the same: 9/4.
Now that we have the improper fractions 28/5 and 9/4, we can divide them. Dividing by a fraction is the same as multiplying by its reciprocal.
The reciprocal of 9/4 is 4/9. Therefore, 28/5 ÷ 9/4 is the same as 28/5 x 4/9.
Next, multiply the numerators together (28 x 4 = 112) and multiply the denominators together (5 x 9 = 45). The result is 112/45.
However, we want to simplify the fraction. The greatest common divisor (GCD) of 112 and 45 is 1. To simplify the fraction, divide the numerator and denominator by their GCD.
112 ÷ 1 = 112
45 ÷ 1 = 45
Therefore, the simplified fraction is 112/45.