Jim's house is built on a 43⁄4 -acre plot of land. Jane's house sits on a 3-acre piece of land. Find the ratio of the size of Jim's land to the size of Jane's land.
Jim:Jane = 4 3/4 : 3 = 19/4 : 3 = 19:12
To find the ratio of the size of Jim's land to the size of Jane's land, we need to divide the size of Jim's land by the size of Jane's land.
Jim's land is 43⁄4 acres, which can be written as 43/4 acres. Jane's land is 3 acres.
So, the ratio is:
43/4 acres : 3 acres
To simplify this ratio, we can find a common denominator for the fractions. The denominator of the first fraction is 4, which is the same as the denominator of the second fraction.
Therefore, the simplified ratio is:
43/4 acres : 12/4 acres
To make the ratio easier to compare, we can convert the fractions to a common numerator. Both fractions have a denominator of 4, so we can rewrite them as:
43/4 acres : 12/4 acres
Now, let's divide each numerator by the denominator:
43/4 : 12/4
This gives us the simplified ratio:
43 : 12
So, the ratio of the size of Jim's land to the size of Jane's land is 43:12.
To find the ratio of the size of Jim's land to the size of Jane's land, we simply divide the size of Jim's land by the size of Jane's land.
Jim's land is 43⁄4 acres, which can be written as 11⁄4 acres.
The ratio is then:
(11⁄4 acres) ÷ (3 acres)
To divide fractions, we multiply the first fraction by the reciprocal (or multiplicative inverse) of the second fraction.
So, the ratio becomes:
(11⁄4 acres) × (1÷3 acres)
Now we can simplify the calculation.
First, multiply the numerators:
11 × 1 = 11
Then, multiply the denominators:
4 × 3 = 12
The ratio simplifies to:
11⁄12
Therefore, the ratio of the size of Jim's land to the size of Jane's land is 11:12.