Multiply: 39/54 x 6/13, reduced to lowest terms =
45/67
234/702
3/9
1/3
Correct Answer : D
To multiply fractions;
1. Multiply the numerators together:
39×6=234
2. Multiply the denominators together:
54×13=702
Thus, the product of the fractions is .
Next, simplify :
- Calculate the greatest common divisor (GCD) of 234 and 702. Both numbers are divisible by 234:
234÷234=1
702÷234=3
The simplified product of the fractions is .
Thus, the correct answer from the provided choices is: D 1/3
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Related Questions
Correct Answer is C
Explanation
To convert the decimal 0.75 to a ratio in simplest form, follow these steps:
- Write it as a fraction:
0.75=
- Multiply both the numerator and the denominator by 100 to eliminate the decimal places (since there are two decimal places in 0.75):
=
- Simplify the fraction: The greatest common divisor (GCD) of 75 and 100 is 25, so divide both the numerator and the denominator by 25:
=
The simplified ratio of 0.75 is 3:4
The answer is C 3:4.
Correct Answer is D
Explanation
Calculate the difference in the cost per gallon between the two prices and then multiply that difference by the number of gallons he purchased.
Difference in cost per gallon:
2.26−2.14=0.12dollarspergallon
Number of gallons purchased:
15.7gallons
Total savings:
0.12×15.7=1.884
Rounding to the nearest cent, the total savings is approximately: $1.88
Therefore, the man saved by going to the less expensive station is: D $1.88
Correct Answer is A
Explanation
To multiply 2 and , first covert 2 into an improper fraction.
2 =
Now Multiply the two by Multiplying the numerators separately and denominators separately.
×
=
=
Simplify by dividing by a common factor
Convert the simplified improper fraction into a mixed fraction.
5 ÷ 4 = 1
Thus, the correct answer from the provided choices is: A 1
Correct Answer is D
Explanation
To multiply the fractions and
:
×
=
=
Now simplify :
- The greatest common divisor (GCD) of 20 and 108 is 4.
- Divide the numerator and the denominator by 4:
=
The correct answer is: D 5/27
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