Questions: m=6/15 m=15/25 m=4/40 m=6/20 If the steepest slope is the one with the greatest number, which slope is the steepest?

Transcript text: \[ m=\frac{6}{15} \quad m=\frac{15}{25} \quad m=\frac{4}{40} \quad m=\frac{6}{20} \] If the steepest slope is the one with the greatest number, which slope is the steepest?

Solution

Solution Steps

To find the steepest slope, we need to compare the given fractions and determine which one has the greatest value. We can do this by converting each fraction to a decimal and then comparing the decimal values.

Step 1: Convert Fractions to Decimals

To compare the slopes, we first convert each fraction to a decimal. The fractions given are:

\[ \frac{6}{15}, \quad \frac{15}{25}, \quad \frac{4}{40}, \quad \frac{6}{20} \]

Converting these to decimals, we get:

\[ \frac{6}{15} = 0.4000, \quad \frac{15}{25} = 0.6000, \quad \frac{4}{40} = 0.1000, \quad \frac{6}{20} = 0.3000 \]

Step 2: Compare Decimal Values

Next, we compare the decimal values to determine which is the greatest. The values are: