Question

1) 1 2/9 + 3 1/3 2) 7/8:7/16 3) 2/3 * 12 4) 9/10 * 5/12

Answer 1

1) 1 2/9 + 3 1/3=1 2/9+3 3/9=4 5/9 2) 7/8:7/16=7/8*16/7=2 3) 2/3 * 12=8 4) 9/10 * 5/12=3/8

Answer 2

1. To add these mixed numbers, we need to first convert them into improper fractions: 1 2/9 = (91 + 2)/9 = 11/9 3 1/3 = (33 + 1)/3 = 10/3

Now we can add them: 11/9 + 10/3 = (113 + 109)/(9*3) = 43/9

So the result is 4 7/9.

2. To divide fractions, we invert the second fraction and multiply: 7/8 ÷ 7/16 = 7/8 × 16/7 = 2

So the result is 2.

3. To multiply a fraction by a whole number, we just multiply the numerator of the fraction by the whole number: 2/3 × 12 = (2 × 12)/3 = 24/3 = 8

So the result is 8.

4. To multiply fractions, we multiply the numerators and denominators separately: 9/10 × 5/12 = (9 × 5)/(10 × 12) = 45/120

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 15: 45/120 = (3 × 3 × 5)/(2 × 2 × 3 × 5) = 3/8

So the result is 3/8.