Question

free response test c, conti
write 12.225 as a fraction or mixed number in simplest form.

Explanation:

Step1: Convert decimal to fraction

$12.225 = \frac{12225}{1000}$

Step2: Simplify the fraction

First find GCD of 12225 and 1000: $\gcd(12225,1000)=25$
$\frac{12225 \div 25}{1000 \div 25} = \frac{489}{40}$

Step3: Convert to mixed number

$489 \div 40 = 12$ remainder $9$, so $\frac{489}{40} = 12\frac{9}{40}$

Answer:

$12\frac{9}{40}$ (or $\frac{489}{40}$)