write a measurement division story problem for 5\12 divided by 1\6
Sure! Here's a measurement division story problem for you:
Emily has 5/12 of a pizza leftover from dinner. She wants to share it equally among her 6 friends, who each want 1/6 of a pizza. How much pizza does each friend receive?
Step 1: Determine the total amount of pizza Emily has:
Emily has 5/12 of a pizza.
Step 2: Determine how much pizza each friend wants:
Each friend wants 1/6 of a pizza.
Step 3: Perform the division:
To find out how many friends can get the desired amount of pizza, we need to divide the total amount of pizza (5/12) by the amount each friend wants (1/6).
5/12 ÷ 1/6
Step 4: Simplify the division:
To make the division easier, we can invert the divisor (1/6) and multiply it with the dividend (5/12).
5/12 x 6/1
Step 5: Multiply the numerators:
5 x 6 = 30
Step 6: Multiply the denominators:
12 x 1 = 12
Step 7: Simplify the result:
Divide the numerator (30) by the denominator (12) to simplify the fraction:
30/12 = 2 6/12
Step 8: Reduce the fraction:
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6.
2 6/12 ÷ 6/6
2 1/2
So, each friend will receive 2 1/2 of a pizza.
Sure! Here's a measurement division story problem for you:
Susie is baking a cake for her friends. She has a recipe that requires 5/12 cups of sugar. However, she only has 1/6 cup measuring cup. How many times does Susie need to fill her measuring cup in order to get the required amount of sugar?
To solve this problem, we need to divide 5/12 by 1/6.
Step 1: Convert the fractions to the same denominator.
Since the denominators are already multiples of each other, we don't need to find a common denominator.
Step 2: Invert the second fraction and multiply.
Inverting the second fraction means swapping the numerator and denominator. So we have:
(5/12) ÷ (1/6) = (5/12) * (6/1)
Step 3: Multiply the numerators and denominators.
(5/12) * (6/1) = (5 * 6) / (12 * 1) = 30/12
Step 4: Simplify the fraction.
30/12 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 6.
30 ÷ 6 / 12 ÷ 6 = 5/2
So, Susie needs to fill her 1/6 cup measuring cup 5/2 times (or 2 1/2 times) to get the required 5/12 cups of sugar for her cake.