Write the rational number whose numerator is 4 × (– 7) and...
Step 1: Calculate the Numerator
The numerator is given as: 4 × (-7)
4 × (-7) = -28
So, the numerator is -28.
Step 2: Calculate the Denominator
The denominator is given as: (3 - 7) × (15 - 11)
First, calculate 3 - 7:
3 - 7 = -4
Next, calculate 15 - 11:
15 - 11 = 4
Now, multiply these two results:
(-4) × 4 = -16
So, the denominator is -16.
Step 3: Write the Rational Number
Now we can write the rational number as:
-28 / -16
Step 4: Simplify the Rational Number
Since both the numerator and denominator are negative, we can cancel the negative signs:
-28 / -16 = 28 / 16
Now, simplify 28/16:
Both 28 and 16 can be divided by 4:
28 ÷ 4 = 7, 16 ÷ 4 = 4
The rational number is: 7/4