A baby gained 50 ounces of weight in
2
3
of a year. At this rate, how much weight would the baby gain in 1 year?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

To solve this problem, we need to determine how much weight the baby gains in one full year, given that the baby gains 50 ounces in \(\frac{2}{3}\) of a year.

**Step 1: Find the rate of weight gain per fraction of a year**

We know the baby gains 50 ounces in \(\frac{2}{3}\) of a year. To find the rate of weight gain, we can divide the total weight gain by the fraction of the year:

\[
\text{Rate of weight gain} = \frac{50 \text{ ounces}}{\frac{2}{3} \text{ year}}
\]

**Step 2: Simplify the expression**

To divide by a fraction, we multiply by its reciprocal. The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\). So, we multiply 50 ounces by \(\frac{3}{2}\):

\[
\text{Rate of weight gain} = 50 \times \frac{3}{2}
\]

\[
\text{Rate of weight gain} = \frac{150}{2}
\]

\[
\text{Rate of weight gain} = 75 \text{ ounces per year}
\]

Therefore, at this rate, the baby would gain **75 ounces** in 1 year.

Would you like further details or have any questions?

Here are some related questions to expand your understanding:

1. How would you calculate the weight gain if the baby gained 50 ounces in \(\frac{1}{4}\) of a year?
2. What is the average monthly weight gain for the baby at this rate?
3. How much weight would the baby gain in \(\frac{1}{2}\) a year at this rate?
4. If the baby gained 100 ounces in 1 year, how much would they gain in \(\frac{2}{3}\) of a year?
5. How do you convert a rate per fraction of a year to a full-year rate in general?

**Tip:** When dividing by a fraction, remember to multiply by its reciprocal to simplify the calculation!

Learn how to calculate the baby's weight gain rate when gaining 50 ounces in 2/3 of a year. Follow a step-by-step explanation with fractions and multiplication, suitable for Grades 5-6.

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