Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
Responses
− 3/25
negative Start Fraction 3 over 25 End Fraction
−65
negative Start Fraction 6 over 5 End Fraction
−6/50
negative Start Fraction 6 over 50 End Fraction
3/5
Start Fraction 3 over 5 End Fraction
To multiply -2/5 by 3/10, you multiply the numerators and denominators:
(-2 * 3)/(5 * 10) = -6/50
However, to write the answer in simplest form, you need to reduce the fraction. The greatest common factor (GCF) of 6 and 50 is 2. Divide both the numerator and denominator by 2:
(-6/2)/(50/2) = -3/25
Therefore, the answer is -3/25.
To multiply 4 by -5/8, you multiply the whole number by the numerator and keep the denominator the same:
4 * (-5) / 8 = -20/8
Next, you can simplify the resulting fraction. The greatest common factor (GCF) of 20 and 8 is 4. Divide both the numerator and denominator by 4:
(-20/4) / (8/4) = -5/2
Therefore, the answer is -5/2. However, the question asks for the answer as a mixed number in simplest form. To convert the fraction to a mixed number, divide the numerator by the denominator:
-5 ÷ 2 = -2 remainder 1
Therefore, the mixed number in simplest form is -2 1/2.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.(1 point)
Responses
−2 4/8
negative 2 Start Fraction 4 over 8 End Fraction
−2 1/2
negative 2 Start Fraction 1 over 2 End Fraction
−5/2
negative Start Fraction 5 over 2 End Fraction
−10
Multiply 6.5 by 0.3. Write the answer as a decimal.(1 point)
Responses
1.86
1.86
1.95
1.95
19.5
19.5
0.195
To multiply 6.5 by 0.3, you simply multiply the two numbers together:
6.5 * 0.3 = 1.95
Therefore, the answer, written as a decimal, is 1.95.
Multiply −19.3 by 6.(1 point)
Responses
−25.3
negative 25.3
115.8
115.8
−114.8
negative 114.8
−115.8
To multiply -19.3 by 6, you simply multiply the two numbers together:
-19.3 * 6 = -115.8
Therefore, the answer is -115.8.
Multiply −2 1/2 by −1 3/5. Write the answer as a decimal.(1 point)
Responses
2.86
2.86
−4.1
negative 4.1
4
4
−4
To multiply -2 1/2 by -1 3/5, first convert the mixed numbers to improper fractions:
-2 1/2 = -5/2
-1 3/5 = -8/5
Next, multiply the two fractions together:
(-5/2) * (-8/5) = 40/10 = 4
Therefore, the answer, written as a decimal, is 4.
Multiply 3/7 by 9/10
.