What is the sum?
seven-thirds plus negative three-eighths
(1 point)
Responses
sixty-five-twenty-fourths
Image with alt text: sixty-five-twenty-fourths
forty-seven-twenty-fourths
Image with alt text: forty-seven-twenty-fourths
negative four-fifths
Image with alt text: negative four-fifths
negative five-fourths
Image with alt text: negative five-fourths
To find the sum of seven-thirds and negative three-eighths, you need to first find a common denominator for the fractions. The common denominator of three and eight is twenty-four.
To convert seven-thirds to a twenty-fourth fraction, you multiply both the numerator and denominator by eight:
7/3 * 8/8 = 56/24
To convert negative three-eighths to a twenty-fourth fraction, you multiply both the numerator and denominator by three:
-3/8 * 3/3 = -9/24
Now you can add the fractions:
56/24 + (-9/24) = 47/24
Therefore, the sum of seven-thirds and negative three-eighths is forty-seven-twenty-fourths.
Which property is illustrated by the following statement?
2x(6) = (6)2x
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The statement "2x(6) = (6)2x" illustrates the Commutative Property of Multiplication because it shows that the order of multiplication can be changed without affecting the result.
To find the sum of seven-thirds and negative three-eighths, you need to find a common denominator to add the fractions. The common denominator in this case is twenty-fourths.
Converting seven-thirds to twenty-fourths:
To convert seven-thirds to twenty-fourths, you need to multiply both the numerator and denominator by 8. This gives you 56/24.
Converting negative three-eighths to twenty-fourths:
To convert negative three-eighths to twenty-fourths, you need to multiply both the numerator and denominator by 3. This gives you -9/24.
Now that both fractions have the same denominator, you can add them together: 56/24 + (-9/24).
To add fractions with the same denominator, you simply add the numerators: 56 + (-9) = 47.
So, the sum of seven-thirds plus negative three-eighths is forty-seven-twenty-fourths.