what is 7/9 ÷ (5/6)
also on that question, do the parenthesis matter around 5/6?
Yes. The parentheses are important because otherwise we wouldn't know whether to divide 7/9 / 5 over 6.
7/9 / (5/6) = 7/9 * 6/5 = 42/45 = 14/15
To calculate 7/9 ÷ (5/6), you need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction.
Here's how to solve it step by step:
Step 1: Invert the second fraction (the divisor). Instead of dividing by 5/6, you multiply by its reciprocal, which is 6/5.
Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction: 7/9 * 6/5.
Step 3: Multiply the numerators together: 7 * 6 = 42.
Step 4: Multiply the denominators together: 9 * 5 = 45.
Step 5: Write the result as a fraction: 42/45.
Now, you can either simplify the fraction further or leave it as it is. In this case, the fraction can be simplified.
Step 6: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, both 42 and 45 can be divided by 3.
Step 7: Divide both the numerator and denominator by 3: 42 ÷ 3 = 14 and 45 ÷ 3 = 15.
Step 8: Write the simplified fraction: 14/15.
Therefore, 7/9 ÷ (5/6) is equal to 14/15.