7 2/3+−5 1/4
To add 7 2/3 and -5 1/4, first convert the mixed numbers to improper fractions.
7 2/3 = (7 * 3 + 2)/3 = 23/3
-5 1/4 = (-5 * 4 + 1)/4 = -19/4
Now, find the common denominator (denominator of the fractions) which is 3 * 4 = 12.
23/3 * 4/4 = 92/12
-19/4 * 3/3 = -57/12
Now we have:
92/12 + -57/12
To add these fractions, add the numerators and keep the denominators the same:
(92 - 57)/12 = 35/12
So, 7 2/3 + -5 1/4 = 35/12.
simplify it
To simplify 35/12, find the greatest common divisor (GCD) of the numerator and denominator, which is 5. Divide both the numerator and the denominator by the GCD (5).
35/5 / 12/5 = 7/4
Therefore, 35/12 simplifies to 7/4.
simplify
7 2/3+−5 1/4
To simplify 7 2/3 - 5 1/4, first, convert the mixed numbers to improper fractions.
7 2/3 = (7 * 3 + 2)/3 = 23/3
-5 1/4 = (-5 * 4 + 1)/4 = -21/4
Now, find the common denominator (denominator of the fractions) which is 3 * 4 = 12.
23/3 * 4/4 = 92/12
-21/4 * 3/3 = -63/12
Now we have:
92/12 + (-63/12)
To add these fractions, add the numerators and keep the denominators the same:
(92 - 63)/12 = 29/12
So, 7 2/3 + -5 1/4 simplifies to 29/12.
The temperature in Antarctica at noon is 14°F. By 9:00PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00PM?
Responses
A –2.2°F–2.2°F
B 2.2°F2.2°F
C –30.2°F–30.2°F
D 30.2°F
To find the temperature at 9:00 PM, subtract 16.2 degrees from the noon temperature of 14°F.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00 PM was -2.2°F.
The correct option is A) -2.2°F.
7.829 − 3.21
Responses
A 3.1273.127
B 4.2094.209
C 4.6194.619
D 11.039
To find the difference between 7.829 and 3.21, subtract 3.21 from 7.829.
7.829 - 3.21 = 4.619
Therefore, the answer is C) 4.619.
Evaluate this expression.
75.5 − 32.55
Responses
A 33.6533.65
B 41.6541.65
C 42.9542.95
D 108.05