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
.
To multiply 3/7 by 9/10, you multiply the numerators and denominators:
(3 * 9)/(7 * 10) = 27/70
Therefore, the answer is 27/70.
Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.
To multiply 4/9 by -3, you multiply the numerator by -3:
(4 * -3)/9 = -12/9
Next, simplify the fraction. The greatest common factor (GCF) of 12 and 9 is 3. Divide both the numerator and denominator by 3:
(-12/3)/(9/3) = -4/3
Therefore, the fraction form of the answer is -4/3. To write it as a mixed number in simplest form, divide the numerator by the denominator:
-4 ÷ 3 = -1 remainder 1
Therefore, the mixed number in simplest form is -1 1/3.
Multiply 2/3 by 1 1/4. Write the answer in simplest form.
To multiply 2/3 by 1 1/4, you first need to convert the mixed number 1 1/4 into an improper fraction.
1 1/4 can be written as 5/4.
Next, multiply the two fractions together:
(2/3) * (5/4) = 10/12
To simplify and write the answer in simplest form, divide both the numerator and denominator by their greatest common factor (GCF).
The GCF of 10 and 12 is 2. Divide both by 2:
(10/2) / (12/2) = 5/6
Therefore, the answer is 5/6.