A Tract Of Land Containing 62 1/2 Acres Was Divide Into Smaller Lots 1 1/4 Acre Each. Into How Many Smaller Lots Was The Tract Of Land Divided?

A tract of land containing 62 1/2 acres was divide into smaller lots 1 1/4 acre each. Into how many smaller lots was the tract of land divided?

 

Answer:

In order to find out the number of smaller plots into which the larger plot is DIVIDED, we must divide the size of the larger plot by the size of the smaller one:

62.5/1.25

=(62 1/2)/(1 1/4)

The easiest way to solve this would be to convert them into improper fractions:

62 1/2=(62*2)+1/2=(124+1)/2=125/2

1 1/4=(4*1)+1/4=5/4

Divide the size of the larger by the smaller:

(125/2)/(5/4)=(125/2)(4/5)=(125*4)/(2*5)=50

The number of plots that could fit is 50.