Question

emmy just bought a new lamp for her bedside table. the old lamp was 1 4/5 feet tall and the new lamp is 4 1/5 feet tall. how much taller is the new lamp than the old lamp. write your answer as a fraction or as a whole or mixed number. feet

Explanation:

Step1: Convert mixed - numbers to improper fractions

The old lamp height $1\frac{4}{5}=\frac{1\times5 + 4}{5}=\frac{9}{5}$ feet. The new lamp height $4\frac{1}{5}=\frac{4\times5+1}{5}=\frac{21}{5}$ feet.

Step2: Subtract the height of the old lamp from the new lamp

$\frac{21}{5}-\frac{9}{5}=\frac{21 - 9}{5}=\frac{12}{5}$

Step3: Convert the improper fraction to a mixed - number

$\frac{12}{5}=2\frac{2}{5}$

Answer:

$2\frac{2}{5}$