Question

add and simplify.
$9\frac{1}{4}$
$+20\frac{1}{8}$
options:
$9\frac{3}{8}$
$30\frac{3}{8}$
$28\frac{3}{8}$
$29\frac{3}{8}$
question 19
find the least common multiple of 10, 40
options: 40, 10, 4000, 400

Explanation:

Step1: Convert mixed numbers to improper fractions

$$9\frac{1}{4}=\frac{9\times4 + 1}{4}=\frac{37}{4}$$
$$20\frac{1}{8}=\frac{20\times8+1}{8}=\frac{161}{8}$$

Step2: Find a common denominator

The common denominator of 4 and 8 is 8.
$$\frac{37}{4}=\frac{37\times2}{4\times2}=\frac{74}{8}$$

Step3: Add the fractions

$$\frac{74}{8}+\frac{161}{8}=\frac{74 + 161}{8}=\frac{235}{8}$$

Step4: Convert back to a mixed number

$$\frac{235}{8}=29\frac{3}{8}$$

Answer:

$29\frac{3}{8}$