A family's monthly income is $1,500, and they spend $300 each month on food. Write the amount they spend on food as a fraction of their monthly income in lowest terms.

300/1500

=1/5

A family's monthly income is

$
1
,
600

, and they spend
$
400

each month on food. Write the amount they spend on food as a fraction of their monthly income in lowest terms.

To find the amount the family spends on food as a fraction of their monthly income, we need to divide the amount spent on food by the total income.

Amount spent on food = $300
Monthly income = $1,500

So, the fraction is:

300/1500

Now, let's simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 300:

300/300 ÷ 1500/300
= 1/5

Therefore, the amount the family spends on food as a fraction of their monthly income in lowest terms is 1/5.

To write the amount spent on food as a fraction of the monthly income, we need to divide the amount spent on food ($300) by the monthly income ($1,500).

The fraction can be written as:

$300 / $1,500

To simplify this fraction to its lowest terms, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is the largest number that divides evenly into both numbers.

In this case, both $300 and $1,500 can be divided by 100, so the GCD is 100.

Dividing both numerator and denominator by 100, we get:

$300 ÷ 100 / $1,500 ÷ 100

Simplifying further, we have:

3 / 15

This fraction can be simplified even more by dividing both numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 3.

3 ÷ 3 / 15 ÷ 3

Which gives us the simplified fraction:

1 / 5

Therefore, the amount they spend on food as a fraction of their monthly income in lowest terms is 1/5.