To find the effect on Alexander's height each minute, we need to divide the total increase in height (108 inches) by the number of minutes (6).
Effect on Alexander's height each minute = Total increase in height / Number of minutes
= 108 inches / 6 minutes
= <<108/6=18>>18 inches
Therefore, the effect on Alexander's height each minute was an increase of 18 inches.
After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?
9 answers
−4/7(−11/2)
To simplify the expression, we will evaluate the multiplication and multiplication of fractions as follows:
−4/7(−11/2) = (-4/7) * (-11/2)
Step 1: Multiply the numerators:
(-4) * (-11) = 44
Step 2: Multiply the denominators:
7 * 2 = 14
Therefore, −4/7(−11/2) simplifies to:
44/14
To further simplify this fraction, we can find the greatest common factor (GCF) of both numerator and denominator to reduce the fraction:
Both 44 and 14 can be divided by 2:
44 ÷ 2 = 22
14 ÷ 2 = 7
Therefore, 44/14 simplifies to:
22/7
So, −4/7(−11/2) simplifies to 22/7.
−4/7(−11/2) = (-4/7) * (-11/2)
Step 1: Multiply the numerators:
(-4) * (-11) = 44
Step 2: Multiply the denominators:
7 * 2 = 14
Therefore, −4/7(−11/2) simplifies to:
44/14
To further simplify this fraction, we can find the greatest common factor (GCF) of both numerator and denominator to reduce the fraction:
Both 44 and 14 can be divided by 2:
44 ÷ 2 = 22
14 ÷ 2 = 7
Therefore, 44/14 simplifies to:
22/7
So, −4/7(−11/2) simplifies to 22/7.
9(−3/7)(−1/3)
To simplify the expression, we will evaluate the multiplication and multiplication of fractions as follows:
9(-3/7)(-1/3) = 9 * (-3/7) * (-1/3)
Step 1: Multiply the numerators:
9 * (-3) * (-1) = 27
Step 2: Multiply the denominators:
7 * 3 = 21
Therefore, 9(-3/7)(-1/3) simplifies to:
27/21
To further simplify this fraction, we can find the greatest common factor (GCF) of both numerator and denominator to reduce the fraction:
Both 27 and 21 can be divided by 3:
27 ÷ 3 = 9
21 ÷ 3 = 7
Therefore, 27/21 simplifies to:
9/7
So, 9(-3/7)(-1/3) simplifies to 9/7.
9(-3/7)(-1/3) = 9 * (-3/7) * (-1/3)
Step 1: Multiply the numerators:
9 * (-3) * (-1) = 27
Step 2: Multiply the denominators:
7 * 3 = 21
Therefore, 9(-3/7)(-1/3) simplifies to:
27/21
To further simplify this fraction, we can find the greatest common factor (GCF) of both numerator and denominator to reduce the fraction:
Both 27 and 21 can be divided by 3:
27 ÷ 3 = 9
21 ÷ 3 = 7
Therefore, 27/21 simplifies to:
9/7
So, 9(-3/7)(-1/3) simplifies to 9/7.
Convert 5 18/25
to a decimal
to a decimal
To convert the mixed number 5 18/25 to a decimal, we need to add the whole number part (5) and the fraction part (18/25) together.
First, we can convert the whole number part to a fraction by writing it as 5/1:
5 = 5/1
Now, we add the fraction part:
5/1 + 18/25
To add fractions, we need to have a common denominator. In this case, the common denominator is 25.
Multiplying the numerator and denominator of the fraction 5/1 by 25 gives us:
(5 * 25) / (1 * 25) + 18/25 = 125/25 + 18/25
Now that the fractions have the same denominator, we can add the numerators:
125/25 + 18/25 = (125 + 18) / 25 = 143 / 25
Therefore, 5 18/25 as a decimal is equivalent to:
143 / 25 ≈ 5.72
First, we can convert the whole number part to a fraction by writing it as 5/1:
5 = 5/1
Now, we add the fraction part:
5/1 + 18/25
To add fractions, we need to have a common denominator. In this case, the common denominator is 25.
Multiplying the numerator and denominator of the fraction 5/1 by 25 gives us:
(5 * 25) / (1 * 25) + 18/25 = 125/25 + 18/25
Now that the fractions have the same denominator, we can add the numerators:
125/25 + 18/25 = (125 + 18) / 25 = 143 / 25
Therefore, 5 18/25 as a decimal is equivalent to:
143 / 25 ≈ 5.72
The decimal 0.013 can be written as
The decimal 0.013 can be written as the fraction 13/1000.
7 answers