Zachary has 10, start fraction, 9, divided by, 16, end fraction10 
16
9
​
  cups of dough to make dumplings. If he uses start fraction, 13, divided by, 16, end fraction 
16
13
​
  cup of dough for each dumpling, how many dumplings can Zachary make?

Zachary has \(\frac{9}{16}\) cups of dough, and each dumpling requires \(\frac{13}{16}\) cups of dough.

To find how many dumplings Zachary can make, we need to divide the total amount of dough by the amount needed per dumpling. This can be written as:

\[
\frac{9}{16} \div \frac{13}{16}
\]

Dividing by a fraction is equivalent to multiplying by its reciprocal, so:

\[
\frac{9}{16} \times \frac{16}{13} = \frac{9 \times 16}{16 \times 13} = \frac{144}{208}
\]

Now simplify the fraction:

\[
\frac{144}{208} = \frac{36}{52} = \frac{9}{13}
\]

So, Zachary can make \(\frac{9}{13}\) of a dumpling. Since this is less than one, Zachary cannot make even a full dumpling with \(\frac{9}{16}\) cups of dough.

### Do you want more details or have any questions?

---

Here are 5 related questions to expand the topic:

1. How do you multiply and divide fractions?
2. What is the process to simplify fractions?
3. If Zachary had \(\frac{26}{16}\) cups of dough, how many dumplings could he make?
4. How would the result change if each dumpling required \(\frac{12}{16}\) cups of dough?
5. Can Zachary make half a dumpling if he only has \(\frac{9}{16}\) cups of dough?

**Tip:** When dividing by a fraction, always multiply by its reciprocal.

Zachary has 9/16 cups of dough to make dumplings. If he uses 13/16 cup of dough for each dumpling, how many dumplings can Zachary make?

Find out how many dumplings Zachary can make with 9/16 cups of dough using a step-by-step solution to the fraction division problem. This solution covers the division of fractions, multiplying by the reciprocal, and simplification of fractions. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation