1. Stan brought candy for his friends that weighed 7/8 pounds. If he split it up equally among himself and 4 other friends, how much candy did they each eat?
(7/8) /5
= (7/8)*(1/5)
= 7/40 pound
2. Yesterday, Jill drank 6 gallons of water this week. If her water bottle holds 2/3 gallons, how many times did she fill her water bottle?
6/(2/3)
= 6 * (3/2)
= 18/2
= 9 times
3. Carmen had 2/5 of a liter of soda. If she pours cups that are 1/10 of a liter, how many cups can she pour to share with her friends?
(2/5)/(1/10)
= (2/5)*(10)
= 20/5
= 4 cups
They're all correct :)
thanks for checking!
To answer the first question, Stan brought candy that weighed 7/8 pounds. To find out how much candy each person ate, you need to divide the candy equally among Stan and his four friends. To do this, you divide the weight of the candy (7/8 pounds) by the total number of people (5):
(7/8) / 5
To divide a fraction by a whole number, you multiply the fraction by the reciprocal of the whole number. In this case, the reciprocal of 5 is 1/5. So, you can rewrite the equation as:
(7/8) * (1/5)
To multiply fractions, you multiply the numerators (the numbers on top) and the denominators (the numbers on bottom):
7/8 * 1/5
To simplify the fraction, multiply the numerators to get the new numerator and multiply the denominators to get the new denominator:
7/40
So, each person ate 7/40 pound of candy.
To answer the second question, Jill drank 6 gallons of water. Her water bottle holds 2/3 gallons of water. To find out how many times she filled her water bottle, you need to divide the total amount of water she drank by the capacity of her water bottle.
The equation is:
6 / (2/3)
To divide a number by a fraction, you multiply the number by the reciprocal of the fraction. The reciprocal of 2/3 is 3/2, so you can rewrite the equation as:
6 * (3/2)
To multiply fractions, multiply the numerators and the denominators:
18/2
To simplify the fraction, divide the numerator by the denominator:
9
So, Jill filled her water bottle 9 times.
To answer the third question, Carmen had 2/5 of a liter of soda. She pours cups that are 1/10 of a liter. To find out how many cups she can pour to share with her friends, you need to divide the amount of soda she has by the amount of soda in each cup.
The equation is:
(2/5) / (1/10)
To divide a fraction by another fraction, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/10 is 10/1, so you can rewrite the equation as:
(2/5) * (10/1)
To multiply fractions, multiply the numerators and the denominators:
20/5
To simplify the fraction, divide the numerator by the denominator:
4
So, Carmen can pour 4 cups of soda to share with her friends.