Write a measurement division story problem for (5/12 divided by (1/6
Sure! Here's a measurement division story problem using (5/12 divided by (1/6):
Sarah is baking a cake and needs 5/12 of a cup of sugar for the recipe. However, she only has measuring cups that measure 1/6 of a cup each. How many measuring cups does Sarah need to use to measure the required amount of sugar?
To solve this problem, we need to divide the given fraction (5/12) by the fraction equivalent to 1 measuring cup (1/6). Here's how you can do it step by step:
Step 1: Convert the mixed fractions to improper fractions:
- 5/12 remains the same since it's already an improper fraction.
- 1/6 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (6) and adding the numerator (1): (1*6) + 1 = 7. So, 1/6 is equivalent to 7/6.
Step 2: Invert the divisor (the second fraction) and multiply it with the dividend (the first fraction) by applying the rule of reciprocal:
- The reciprocal of 7/6 is 6/7. So, the division problem becomes 5/12 multiplied by 6/7.
Step 3: Multiply the numerators together to get the numerator of the final answer, and multiply the denominators together to get the denominator:
- 5/12 multiplied by 6/7 gives us (5 * 6) / (12 * 7) = 30/84.
Step 4: Simplify the resulting fraction if possible:
- The numerator (30) and denominator (84) have a common factor of 6. By dividing both the numerator and denominator by 6, we get the simplified fraction of 5/14.
So, Sarah needs to use 5/14 of a measuring cup to measure the required amount of sugar for her cake.