To calculate the product of the mixed numbers \( \frac{5}{4} \times \frac{29}{3} \times \frac{21}{5} \):
1. **Convert Mixed Numbers to Improper Fractions:**
- \( 1 \frac{1}{4} = \frac{5}{4} \)
- \( 9 \frac{2}{3} = \frac{29}{3} \)
- \( 4 \frac{1}{5} = \frac{21}{5} \)
2. **Multiply the Numerators Together:**
\[
5 \times 29 \times 21 = 5 \times 29 = 145 \quad \text{and} \quad 145 \times 21 = 3045
\]
3. **Multiply the Denominators Together:**
\[
4 \times 3 \times 5 = 4 \times 3 = 12 \quad \text{and} \quad 12 \times 5 = 60
\]
4. **Combine the Results:**
\[
\frac{3045}{60}
\]
5. **Simplify the Result:**
- Find the Greatest Common Divisor (GCD) of 3045 and 60.
- The GCD of 3045 and 60 is 15.
- Divide both the numerator and the denominator by their GCD:
\[
\frac{3045 \div 15}{60 \div 15} = \frac{203}{4}
\]
6. **Convert back to a Mixed Number (if necessary):**
\[
203 \div 4 = 50 \quad \text{with a remainder of} \quad 3.
\]
So,
\[
\frac{203}{4} = 50 \frac{3}{4}
\]
Thus, the product of \( 1 \frac{1}{4} \times 9 \frac{2}{3} \times 4 \frac{1}{5} \) is \( 50 \frac{3}{4} \), or in improper fraction form, \( \frac{203}{4} \).
1 1/4 x 9 2/3 x 4 1/5=
1 answer