What is the sum?

Question

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

Answer 1

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.

Answer 2

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

Answer 3

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.