Compute: 12÷23 . Simplify the answer if possible.(1 point)
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4 months ago
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4 months ago
Compute: 1/16÷1/3 . Simplify the answer if possible.(1 point)
Responses
316
Start Fraction 3 over 16 End Fraction
163
Start Fraction 16 over 3 End Fraction
148
Start Fraction 1 over 48 End Fraction
513
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4 months ago
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
So, 1/16 ÷ 1/3 can be rewritten as 1/16 * 3/1.
Multiplying the numerators (1 * 3) and the denominators (16 * 1), we get 3/16.
Therefore, the answer is: Start Fraction 3 over 16 End Fraction.
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4 months ago
Compute: 1 1/6 ÷1/2 . Convert the answer to a mixed number in simplest form.(1 point)
Responses
712
Start Fraction 7 over 12 End Fraction
614
Start Fraction 6 over 14 End Fraction
213
2 Start Fraction 1 over 3 End Fraction
1416
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4 months ago
To divide mixed numbers, you need to convert them into improper fractions.
1 1/6 can be written as an improper fraction by multiplying the whole number (1) by the denominator (6) and adding the numerator (1) to get 7/6.
So, 1 1/6 ÷ 1/2 can be rewritten as 7/6 ÷ 1/2.
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. So, 7/6 ÷ 1/2 can be rewritten as 7/6 * 2/1.
Multiplying the numerators (7 * 2) and the denominators (6 * 1), we get 14/6.
Now, we can simplify the fraction. The greatest common divisor (GCD) of 14 and 6 is 2. Dividing both the numerator and denominator by 2, we get 7/3.
To convert back to a mixed number, we divide the numerator (7) by the denominator (3). The quotient is 2 with a remainder of 1.
Therefore, the answer is 2 1/3.
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4 months ago
Quotients of Fractions Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
A rectangle is divided into 12 equal parts as four rows and three columns. The first part in each of the four rows are shaded. The one shaded part of the first row is further shaded using diagonal lines.
Interpret the model to determine the fraction used to divide 13.
(1 point)
Responses
112
Start Fraction 1 over 12 End Fraction
43
Start Fraction 4 over 3 End Fraction
34
Start Fraction 3 over 4 End Fraction
14
Start Fraction 1 over 4 End Fraction
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4 months ago
Since the rectangle is divided into 12 equal parts, and only one part of the first row is shaded using diagonal lines, we can interpret this as 1 out of 12 parts being shaded.
Therefore, the fraction used to divide 13 is Start Fraction 1 over 12 End Fraction.