Question

Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother . How tall is leon?

Answer 1

Answer:

4 3/4 - 1/3 = 4 5/12

Step-by-step explanation:

4 9/12 - 4/12 = 4 5/12

Answer 2

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft