Use properties of operation and rules for multiplying signed numbers to multiply -2/5 by positive3/10 write the answer in the simplest form
Multiply -2 1/2 by -1 3/5 write the answer as a decimal
A: -4.1.
B: 2.86.
C: 4
D: -4
Multiply 4 by -5/8 write the answer as a mixed number in simplest form
multiply 4 by -5/8. write answer as a mixed number in simplest form.
-5/2
-10
-2 1/2
-2 4/8
To multiply -2/5 by positive 3/10 and express the answer in the simplest form, you can follow these steps:
Step 1: Multiply the numerators (the top numbers) together: -2 * 3 = -6.
Step 2: Multiply the denominators (the bottom numbers) together: 5 * 10 = 50.
Step 3: The resulting fraction is -6/50.
Step 4: Simplify the fraction:
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator. In this case, -6 and 50 both have a common factor of 2. Dividing both -6 and 50 by 2, we get -3 and 25, respectively.
So, the simplified fraction is -3/25.
Therefore, -2/5 multiplied by 3/10 is equal to -3/25 in its simplest form.
To multiply 4 by -5/8, we multiply the whole number 4 by the numerator -5 and leave the denominator 8 as it is. Then, we add the result to the fractional part of the mixed number.
Multiplying the whole number: 4 × -5 equals -20.
So, the mixed number is -20/8.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
Dividing -20 by 4 equals -5.
Dividing 8 by 4 equals 2.
Thus, the simplified form of -20/8 is -5/2.
Therefore, the answer as a mixed number in simplest form is -5 1/2.
To multiply -2 1/2 by -1 3/5, we need to change the mixed numbers to improper fractions, then multiply the numerators and denominators separately.
-2 1/2 = -5/2
-1 3/5 = -8/5
Multiplying the numerators: -5 × -8 equals 40.
Multiplying the denominators: 2 × 5 equals 10.
So, the result is 40/10.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 10.
Dividing 40 by 10 equals 4.
Dividing 10 by 10 equals 1.
Thus, the simplified form of 40/10 is 4/1, which is equivalent to 4.
Therefore, the answer as a decimal is C: 4.
To multiply -2/5 by 3/10, we simply multiply the numerators (the top numbers) and the denominators (the bottom numbers) separately.
Multiplying the numerators: -2 × 3 equals -6.
Multiplying the denominators: 5 × 10 equals 50.
So, the answer is -6/50.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing -6 by 2 equals -3.
Dividing 50 by 2 equals 25.
Thus, the simplified form of -6/50 is -3/25.