Question

3/7:9/16=? 4 1/2: 5 1/4

Answer 1

3/7:9/16= 3/7 * 16/9= 16/21

 4 1/2: 5 1/4= 9/2 * 4/21= 6/7

Answer 2

To solve these two fractions and mixed number division problems, you can follow these steps:

1. Convert mixed numbers to improper fractions.
2. Invert the second fraction (the divisor) and change division to multiplication.
3. Multiply the two fractions.

Let's start with the first problem: 3/7 ÷ 9/16.

1. Convert mixed numbers to improper fractions: 3/7 ÷ 9/16 = (3/7) ÷ (9/16)

2. Invert the second fraction and change division to multiplication: (3/7) ÷ (9/16) = (3/7) * (16/9)

3. Multiply the two fractions: (3/7) * (16/9) = (3 * 16) / (7 * 9) = 48/63

Now, simplify the fraction by finding the greatest common divisor (GCD) of 48 and 63, which is 3:

(48/3) / (63/3) = 16/21

So, 3/7 ÷ 9/16 = 16/21.

Now, let's solve the second problem: 4 1/2 ÷ 5 1/4.

1. Convert mixed numbers to improper fractions: 4 1/2 = 9/2 (because 4 * 2 + 1 = 9) 5 1/4 = 21/4 (because 5 * 4 + 1 = 21)

2. Invert the second fraction and change division to multiplication: (9/2) ÷ (21/4) = (9/2) * (4/21)

3. Multiply the two fractions: (9/2) * (4/21) = (9 * 4) / (2 * 21) = 36/42

Now, simplify the fraction by finding the greatest common divisor (GCD) of 36 and 42, which is 6:

(36/6) / (42/6) = 6/7

So, 4 1/2 ÷ 5 1/4 = 6/7.