7/9 ÷ 8/15
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
7/9 ÷ 8/15 = 7/9 * 15/8
Now let's simplify:
7/9 * 15/8 = (7 * 15) / (9 * 8)
= 105 / 72
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 3.
= (105 ÷ 3) / (72 ÷ 3)
= 35/24
Therefore, 7/9 ÷ 8/15 is equal to 35/24.
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal (or multiplicative inverse) of a fraction is obtained by swapping the numerator and denominator.
Step 1: Write down the first fraction: 7/9.
Step 2: Write down the second fraction and find its reciprocal: The reciprocal of 8/15 is 15/8.
Step 3: Multiply the first fraction by the reciprocal of the second fraction: (7/9) * (15/8).
Step 4: Multiply the numerators together: 7 * 15 = 105.
Step 5: Multiply the denominators together: 9 * 8 = 72.
Step 6: Write down the result as a fraction: 105/72.
Step 7: Simplify the fraction (if possible): In this case, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9. Thus, 105/72 simplifies to 35/24.
So, 7/9 ÷ 8/15 equals 35/24.