a recipe calls for 1 1/2 cups of sugar. marley only has measure 1/4 cup. How many times will marley have to fill the measuring cup?
the answer is.. 6
The answer is 6
To answer this question, we need to find out how many times Marley will need to fill her 1/4 cup measuring cup in order to measure 1 1/2 cups of sugar.
There are a few steps we can follow to find the answer:
Step 1: Convert the fractions to a common denominator.
- To add or subtract fractions with different denominators, we need to find a common denominator. The common denominator between 2 and 4 is 4.
So, 1 1/2 cups can be written as 3/2 when the whole number is expressed as a fraction with the same denominator:
1 1/2 cups = 3/2 cups
Step 2: Divide the desired amount of sugar by the capacity of Marley's measuring cup.
- Marley's measuring cup has a capacity of 1/4, which means it can hold 1/4 cup of sugar.
Divide 3/2 cups by 1/4 cup:
(3/2) ÷ (1/4)
Step 3: Invert the divisor and multiply.
- To divide fractions, it is easier to multiply by the reciprocal (or invert) the divisor.
Multiply the dividend (3/2) by the reciprocal of the divisor (1/4):
(3/2) x (4/1)
Step 4: Multiply the numerators and denominators.
- Multiply the numerators (3 and 4), and multiply the denominators (2 and 1).
(3 x 4) / (2 x 1)
Step 5: Simplify the fraction.
- Simplify the fraction, if possible.
12/2
Step 6: Divide the numerator by the denominator.
- Divide the numerator by the denominator to find the final answer.
12 ÷ 2 = 6
Therefore, Marley will need to fill her measuring cup 6 times in order to measure 1 1/2 cups of sugar.