Question

The value of the fraction $9\frac{13}{20}$ as a decimal?

Answer 1

Step 1: Converting $9\frac{13}{20}$into improper fraction.

• Multiply the denominator with the whole number part. Here, $20\times 9=180$
• Add the numerator to the product obtained in above. So, we get, $180+13=193$
• Write the value obtained above over the denominator. This will be the new numerator while the denominator will remain the same. So, $9\frac{13}{20}=\frac{193}{20}$

Step 2: Converting $\frac{193}{20}$ into decimal

Multiplying numerator and denominator by $5$, we get

$\Rightarrow \frac{193}{20}=\frac{193\times 5}{20\times 5}$

$=\frac{965}{100}$

$=9.65$

Hence, the value of $9\frac{13}{20}$ in decimal is $9.65$