If our monthly income is $2,360 and your house payment is $2,080, what fraction of your monthly income must go to pay your house payment?

To find the fraction of your monthly income that goes to pay your house payment, you need to divide the house payment amount by the total monthly income.

Given:
- Monthly income: $2,360
- House payment: $2,080

The fraction is calculated as follows:

\[
\text{Fraction} = \frac{\text{House Payment}}{\text{Monthly Income}} = \frac{2080}{2360}
\]

To simplify this fraction:

1. Find the greatest common divisor (GCD) of 2080 and 2360.
2. Divide both the numerator and the denominator by their GCD.

The GCD of 2080 and 2360 is 40. Therefore:

\[
\text{Simplified Fraction} = \frac{2080 \div 40}{2360 \div 40} = \frac{52}{59}
\]

So, the fraction of your monthly income that must go to pay your house payment is $\frac{52}{59}$.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would this fraction change if your income increased by $500?
2. What percentage of your income goes to the house payment?
3. How much would you have left each month after paying the house payment?
4. If your house payment were reduced by 10%, what would the new fraction be?
5. What would the fraction be if your income decreased by $200?

**Tip:** Simplifying fractions by finding the greatest common divisor (GCD) helps in comparing ratios more easily.

Learn how to calculate the fraction of your monthly income that goes towards your house payment. Given a monthly income of $2,360 and a house payment of $2,080, find out what portion of your income is allocated to your house payment. Understand the concept of fractions and proportions in real-life financial planning. Suitable for students in Grades 4-6.

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