Change 8.08 to a fraction, reduced to the lowest terms.
8 2/5
8 8/100
8 2/25
8 8/1000
Correct Answer : C
To convert the decimal 8.08 to a fraction and simplify it to the lowest terms, follow these steps:
- Write it as a fraction of 1:
8.08 =
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (since there are two decimal places in 8.08):
=
- Simplify the fraction: The greatest common divisor (GCD) of 808 and 100 is 4, so divide both the numerator and the denominator by 4:
=
- Express as a mixed number: Divide 202 by 25:
202÷25=8 remainder 2
This gives:
The simplified mixed number for 8.08 is
The answer is C 8 2/25.
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Related Questions
Correct Answer is A
Explanation
To solve the proportion 15/3=𝑋/5, you can use cross-multiplication:
15×5=3×𝑋
Calculate the left side:
15×5=75
Now set up the equation:
75=3𝑋
Solve for X by dividing both sides by 3:
𝑋=75/3=25
Thus, the value of X is 25.
Correct Answer is A
Explanation
To solve the expression given 𝑋=4X=4 and 𝑌=6Y=6, substitute these values into the expression and simplify step by step.
The expression is:
(4𝑋+3𝑌−8)−3(2𝑋−𝑌+2)
Substitute 𝑋=4 and 𝑌=6:
(4⋅4+3⋅6−8)−3(2⋅4−6+2)
Calculate the inner values:
(16+18−8)−3(8−6+2)
(26)−3(4)
Now calculate further:
26−12
This simplifies to: 14
So, the correct answer is: 14
Correct Answer is A
Explanation
To add the mixed numbers and
, First add the whole numbers part separately and the fraction part separately
5 + 7 = 12
Now convert the fractions part with a common denominator and then perform the addition.
- Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:
=
=
=
=
- Add the two fractions:
+
=
=
- Now combine the whole number part with the fraction part
12 + =
Thus, the answer is A 12 7/12.
Correct Answer is C
Explanation
To determine which expression is the largest, you can consider each ratio or fraction and evaluate its decimal equivalent or compare its relative value. Each expression lists a ratio of 1 to another number, so essentially, we're looking at fractions:
- A
- B
- C
- D
Among these, the largest fraction is the one with the smallest denominator, because the whole (1 in this case) is divided into fewer parts, making each part larger. Therefore, the largest fraction, and thus the largest expression, is: C 1:2
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