Mabry connects pieces of clay and to end that are each 3/4 inches long how many 3/16 inches of clay can Maybry cut

Mabry has pieces of clay that are each \( \frac{3}{4} \) inches long, and we need to determine how many pieces of \( \frac{3}{16} \) inches can be cut from each of them.

### Step-by-step solution:

1. The length of one piece of clay is \( \frac{3}{4} \) inches.
2. Each piece of clay that Mabry wants to cut is \( \frac{3}{16} \) inches long.
3. To find how many pieces of \( \frac{3}{16} \) inches can be cut from \( \frac{3}{4} \) inches of clay, we divide the total length by the length of each piece:

\[
\frac{\frac{3}{4}}{\frac{3}{16}} = \frac{3}{4} \times \frac{16}{3}
\]

4. Simplify the expression:

\[
\frac{3 \times 16}{4 \times 3} = \frac{48}{12} = 4
\]

So, Mabry can cut **4 pieces** of \( \frac{3}{16} \) inches from each \( \frac{3}{4} \)-inch clay piece.

Would you like more details or have any questions?

### Related questions:
1. What if each piece of clay was \( \frac{5}{16} \) inches instead of \( \frac{3}{16} \)?
2. How much total clay is used if Mabry connects 10 pieces of \( \frac{3}{16} \)-inch clay?
3. How would the number of pieces change if each original clay piece was 1 inch long?
4. What if the original piece of clay was \( 1 \frac{1}{2} \) inches long?
5. How many \( \frac{1}{8} \)-inch pieces can be cut from a \( \frac{3}{4} \)-inch clay?

### Tip:
When dividing fractions, remember to multiply by the reciprocal of the divisor.

Mabry connects pieces of clay end to end that are each 3/4 inches long. How many 3/16 inches of clay can Mabry cut?

Find out how to calculate the number of 3/16-inch pieces that can be cut from a 3/4-inch clay piece. This math problem involves dividing fractions and applying the concept of reciprocal. Suitable for students in Grades 4-6.

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