Use properties of operations and rules for multiplying signed numbers to multiply by . Write the answer in simplest form.(1 point)
−
6
50
−
6
5
3
5
−
3
25
To multiply fractions, you simply multiply the numerators together and the denominators together.
Let's multiply the fractions:
(−6/50)(−6/5) = (36/250) = (18/125) = 0.144
Therefore, the answer in simplest form is 0.144.
Multiply
4
9
by
−3
. Write the answer as a mixed number in simplest form.(1 point)
−27
9
To multiply fractions, you simply multiply the numerators together and the denominators together.
Let's multiply the fractions:
(4/9)(-3) = (-12/9) = (-4/3)
To simplify the fraction, you can divide the numerator and the denominator by their greatest common divisor, which in this case is 1.
(-4/3) divided by 1 = -4/3
To write the fraction as a mixed number, you divide the numerator (-4) by the denominator (3) and write the remainder as a fraction.
-4 divided by 3 is -1 with a remainder of 1.
Therefore, the answer in simplest form as a mixed number is -1 1/3.
Multiply 4 by −58. Write the answer as a mixed number in simplest form.(1 point)
Responses
−248
negative 2 Start Fraction 4 over 8 End Fraction
−10
negative 10
−52
negative Start Fraction 5 over 2 End Fraction
−212
To multiply fractions, you simply multiply the numerators together and the denominators together. Considering the given fractions:
1) (-6/50) * (-6/5)
Multiplying the numerators: -6 * -6 = 36
Multiplying the denominators: 50 * 5 = 250
So the result is 36/250.
2) (3/5) * (-3/25)
Multiplying the numerators: 3 * -3 = -9
Multiplying the denominators: 5 * 25 = 125
So the result is -9/125.
Therefore, the multiplication of the given fractions, written in simplest form, is:
36/250 and -9/125.
To multiply signed numbers, follow these steps:
1. Multiply the absolute values of the numbers.
For example, to multiply -6/50 with -6/5, multiply their absolute values: 6/50 * 6/5 = 36/250.
2. Determine the sign of the result.
To determine the sign of the result, use the following rule:
- If the two numbers have the same sign, the result is positive.
- If the two numbers have different signs, the result is negative.
In this case, both numbers (-6/50 and -6/5) are negative. So, the result will be positive.
3. Simplify the fraction, if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide them both by it.
The numerator, 36, and the denominator, 250, do not share any common factors other than 1. Therefore, the fraction 36/250 is already in its simplest form.
So, the product of -6/50, -6/5, and 3/5 is 36/250.