A pizza was cut into eight equal pieces.Jack eats 3 1/2 pieces. what part of the original pizza did he eat?
Suppose that a department contains 11 men and 19 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
3 1/2 = 7/2
so the question is what part of 8 is 7/2?
(7/2) / 8 = 7/16
Thank you so much
guys pls help
To find out the part of the original pizza that Jack ate, you need to divide the number of pieces Jack ate by the total number of pieces in the pizza.
Step 1: Convert the mixed number 3 1/2 into an improper fraction.
To convert the mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. Then, put the result over the denominator.
3 1/2 = (3 × 2 + 1) / 2 = 7/2
Step 2: Divide the number of pieces Jack ate by the total number of pieces in the pizza.
Jack ate 7/2 pieces out of 8 pieces.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(7/2) ÷ 8 = (7/2) × (1/8) = 7/16
Therefore, Jack ate 7/16 or seven-sixteenths of the original pizza.