Find the quotient.
–7 ÷ fourteen-thirds
(1 point)
Responses
negative two-thirds
Image with alt text: negative two-thirds
negative ninety-eight-thirds
Image with alt text: negative ninety-eight-thirds
negative one-half
Image with alt text: negative one-half
negative three-halves
-7 ÷ fourteen-thirds is equal to negative two-thirds.
so what is the answer
Which sum will be irrational?
(1 point)
Responses
3 + 2
3 + 2
start root 19 end root plus start fraction 7 over 2 end fraction
Image with alt text: start root 19 end root plus start fraction 7 over 2 end fraction
Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
Image with alt text: Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
–6 + (–3.251)
–6 + (–3.251)
hello
Which sum will be irrational?
(1 point)
Responses
3 + 2
3 + 2
start root 19 end root plus start fraction 7 over 2 end fraction
Image with alt text: start root 19 end root plus start fraction 7 over 2 end fraction
Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
Image with alt text: Start Fraction 18 over 3 End Fraction plus Start Fraction 11 over ten thousand End Fraction.
–6 + (–3.251)
To find the quotient of -7 ÷ fourteen-thirds, we can convert the fraction to a mixed number first.
Fourteen-thirds is equal to 4 and two-thirds.
Therefore, -7 ÷ fourteen-thirds is the same as -7 ÷ (4 and two-thirds).
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of four-thirds is three-fourths.
So, -7 ÷ (4 and two-thirds) is equal to -7 × (3/4).
When we simplify the multiplication, we get -21/4.
Therefore, the quotient -7 ÷ fourteen-thirds is equal to -21/4.
In decimal form, this is approximately -5.25.
To find the quotient of –7 ÷ fourteen-thirds, you need to divide –7 by fourteen-thirds.
First, divide the absolute values of –7 and 14. The absolute value of –7 is 7, and the absolute value of 14 is 14.
Next, divide the two numbers as fractions. The fraction –7 becomes –7/1, and 14 becomes 14/1.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 14/1 is 1/14.
So, the division –7/1 ÷ 14/1 becomes –7/1 * 1/14.
Multiply the numerators together (–7 * 1) and the denominators together (1 * 14).
Thus, –7/1 * 1/14 = –7/14.
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7.
–7/14 divided by 7/7 equals –1/2.
Therefore, the quotient of –7 ÷ fourteen-thirds is negative one-half.