Question

If our monthly income is $1,100 and your house payment is $860, what fraction of your monthly
income must go to pay your house payment?
of your monthly income goes towards your house payment.

Answer 1

Answer:

$\dfrac{43}{55}$

Step-by-step explanation:

To find what fraction of the monthly income must go to the house payment, we can divide the house payment by the monthly income.

$\dfrac{\text{house payment}}{\text{monthly income}}$

$= \dfrac{860}{1100}$

We can simplify this fraction by representing the numerator and denominator by their prime factorizations, then canceling factors that appear in both the numerator and denominator.

$= \dfrac{\not2 \cdot \not2 \cdot \not5 \cdot 43}{\not2 \cdot \not2 \cdot \not5\cdot 5\cdot11}$

$\boxed{= \dfrac{43}{55}}$