Question

1 1/9 ÷ 1 13/27 ÷ 63/64​

Answer 1

Ответ:

Пошаговое объяснение:

1 1/9 ÷ 1 13/27 =10/9*27/40=3/4

3/4÷ 63/64​=3/4*64/63=16/21

Answer 2

To divide the fractions 1 1/9, 1 13/27, and 63/64, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. 1 1/9 = 10/9 1 13/27 = 40/27

Step 2: Invert the divisor (63/64) and multiply it with the first fraction. (10/9) ÷ (40/27) × (64/63)

Step 3: Simplify the fractions where possible.

First, simplify 10/9 and 40/27:

10/9 = (10/3) * (1/3) 40/27 = (40/3) * (1/3)

Now, your expression looks like this:

((10/3) * (1/3)) ÷ ((40/3) * (1/3)) × (64/63)

Step 4: Cancel out common factors in the numerators and denominators:

(10/3) ÷ (40/3) × (64/63)

Now, multiply the fractions:

(10/3) ÷ (40/3) × (64/63) = (10/3) × (3/40) × (64/63)

Step 5: Multiply the numerators and denominators:

(10 × 3 × 64) / (3 × 40 × 63)

Step 6: Simplify further if possible.

First, simplify within each fraction:

(10 × 3 × 64) = 1920 (3 × 40 × 63) = 7560

Now, the expression becomes:

1920/7560

Step 7: Simplify the fraction by finding the greatest common divisor (GCD) of 1920 and 7560 and dividing both the numerator and denominator by the GCD.

The GCD of 1920 and 7560 is 240.

(1920 ÷ 240) / (7560 ÷ 240) = 8/31

So, 1 1/9 ÷ 1 13/27 ÷ 63/64 is equal to 8/31.