Use properties of rational number to multiply the following. -7/9 times 162use properties of rational numbers to multiply the following
To multiply rational numbers, we first multiply the numerators together and then multiply the denominators together.
So, multiplying -7/9 by 162:
(-7/9) * 162 = (-7 * 162) / (9) = -1134/9
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 9:
-1134/9 = -126/1
Therefore, -7/9 times 162 is equal to -126/1 or simply -126.
To multiply -7/9 by 162, we can use the property of rational numbers that states multiplying two fractions involves multiplying their numerators together and multiplying their denominators together.
Step 1: Multiply the numerators (-7 × 162).
-7 × 162 = -1134.
Step 2: Multiply the denominators (9 × 1).
9 × 1 = 9.
Step 3: Write the product of the numerators and denominators as a fraction.
The product is -1134/9.
Since -1134 and 9 are both divisible by 9, we can simplify the fraction further.
Step 4: Divide both the numerator and denominator by 9.
-1134 ÷ 9 = -126.
9 ÷ 9 = 1.
The simplified fraction is -126/1, which can also be written as just -126.