Frank is filling chocolate molds. Each mold holds 1 2/3 tablespoons of chocolate. How many chocolate molds can he fill with 10 tablespoons of chocolate? responses 6 10 3/50 1/6
To find out how many chocolate molds Frank can fill with 10 tablespoons of chocolate, we need to divide the total amount of chocolate by the amount of chocolate each mold can hold.
10 tablespoons ÷ 1 2/3 tablespoons per mold
To perform this division, we can convert the mixed number 1 2/3 to an improper fraction. The numerator of the improper fraction is found by multiplying the whole number (1) by the denominator (3) and adding the result to the numerator (2). We then take this sum (5) as our new numerator while keeping the denominator (3) the same.
10 tablespoons ÷ 5/3 tablespoons per mold
Next, we change this division to a multiplication by flipping the second fraction (divisor) and multiplying the two fractions.
10 tablespoons × 3/5 tablespoons per mold
Cancelling units, the tablespoons unit in the numerator and denominator, we get:
10 × 3/5 molds
Multiplying 10 by 3 gives us 30, so we have:
30/5 molds
This fraction simplifies to 6/1.
Therefore, Frank can fill 6 chocolate molds with 10 tablespoons of chocolate.
The correct response is 6.