Question

Hurry please! I will give the right answer brainliest! A developer has 7 1/2 acres of land to build houses on. If each house is to be built on 1/4 -acre plot, how many houses can he build?

Answer 1

Answer:

$\boxed {\boxed {\sf 30 \ houses}}$

Step-by-step explanation:

Each house uses 1/4 acres and there is a total of 7 1/2 acres. Therefore, we can divide the total land by the land used for one house.

$7 \frac{1}{2} \div \frac{1}{4}$

First, convert the mixed number to an improper fraction.

An easy way to do this is by multiplying the denominator or bottom number of the fraction (2) by the whole number (7). Then, add the numerator (1).

• 2*7=14
• 14+1 =15

This becomes the numerator of the improper fraction and the denominator stays the same. The fraction is 15/2

$\frac{15}{2} \div \frac{1}{4}$

Now, divide the fractions. Multiply by the reciprocal of the second fraction and follow Keep Change Flip.

Keep the first fraction. Change the division sign to a multiplication symbol.

$\frac{15}{2} \times \frac{1}{4}$

Flip the second fraction. Switch the numerator and denominator.

$\frac{15}{2} \times \frac{4}{1}$

Multiply across.

$\frac{(15*4)}{(2*1)}$

$\frac{60}{2} =30$

30 houses can be built.

Answer 2

Answer:

30 if I divided correctly ☺

Step-by-step explanation: