Express -42/98 as a rational number with denominator 7
Step 1: Simplify the fraction
First, we need to simplify the given fraction -42/98. We can simplify a fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
The GCF of -42 and 98 is 14. We can divide both the numerator and denominator by 14 to simplify the fraction.
-42/98 = (-3*14)/(7*14) = -3/7
Step 2: Convert the fraction to have a denominator of 7
Next, we need to express the simplified fraction -3/7 with a denominator of 7.
To do this, we can multiply both the numerator and denominator by a factor that will make the denominator 7.
We can multiply the denominator by 1 to get 7. Therefore, we need to multiply the numerator by 1 as well.
-3/7 = (-3/7)*(1/1) = -3/7
Step 3: Final Answer
So, the rational number -42/98 expressed with a denominator of 7 is -3/7.