QuestionWhat is the result of dividing 917 by 45? Choose from: 20 R27, 20 R17, or 20 R37.

Studdy Solution

STEP 1

Assumptions1. We are asked to express the fraction $\frac{917}{45}$ in the form of a mixed number. . A mixed number is a whole number and a proper fraction combined.

STEP 2

First, we need to divide the numerator by the denominator to find the whole number part of the mixed number. $Whole\, number\, part = \left\lfloor\frac{umerator}{Denominator}\right\rfloor$

STEP 3

Now, plug in the given values for the numerator and denominator to calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor$

STEP 4

Calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor =20$

STEP 5

Now that we have the whole number part, we can find the remainder which will be the numerator of the fractional part. This can be found by subtracting the product of the whole number part and the denominator from the original numerator.
$Remainder = Numerator - Whole\, number\, part \\times Denominator$

STEP 6

Plug in the values for the numerator, whole number part, and the denominator to calculate the remainder.
$Remainder =917 -20 \\times45$

STEP 7

Calculate the remainder.
$Remainder =917 -20 \\times45 =17$

STEP 8

Now that we have the remainder, we can express the original fraction as a mixed number. The mixed number is the whole number part and the remainder over the original denominator.
$Mixed\, number = Whole\, number\, part + \frac{Remainder}{Denominator}$

STEP 9

Plug in the values for the whole number part, the remainder, and the denominator to express the original fraction as a mixed number.
$Mixed\, number =20 + \frac{17}{45}$ So, the fraction $\frac{917}{45}$ can be expressed as the mixed number $20 \frac{17}{45}$ .

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QuestionWhat is the result of dividing 917 by 45? Choose from: 20 R27, 20 R17, or 20 R37.

Studdy Solution

STEP 1

Assumptions1. We are asked to express the fraction $\frac{917}{45}$ in the form of a mixed number. . A mixed number is a whole number and a proper fraction combined.

STEP 2

First, we need to divide the numerator by the denominator to find the whole number part of the mixed number. $Whole\, number\, part = \left\lfloor\frac{umerator}{Denominator}\right\rfloor$

STEP 3

Now, plug in the given values for the numerator and denominator to calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor$

STEP 4

Calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor =20$

STEP 5

STEP 6

Plug in the values for the numerator, whole number part, and the denominator to calculate the remainder.
$Remainder =917 -20 \\times45$

STEP 7

Calculate the remainder.
$Remainder =917 -20 \\times45 =17$

STEP 8

Now that we have the remainder, we can express the original fraction as a mixed number. The mixed number is the whole number part and the remainder over the original denominator.
$Mixed\, number = Whole\, number\, part + \frac{Remainder}{Denominator}$

STEP 9

Plug in the values for the whole number part, the remainder, and the denominator to express the original fraction as a mixed number.
$Mixed\, number =20 + \frac{17}{45}$ So, the fraction $\frac{917}{45}$ can be expressed as the mixed number $20 \frac{17}{45}$ .

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QuestionWhat is the result of dividing 917 by 45? Choose from: 20 R27, 20 R17, or 20 R37.

Studdy Solution

STEP 1

Assumptions1. We are asked to express the fraction 91745\frac{917}{45}45917​ in the form of a mixed number. . A mixed number is a whole number and a proper fraction combined.

STEP 2

First, we need to divide the numerator by the denominator to find the whole number part of the mixed number.Whole number part=⌊umeratorDenominator⌋Whole\, number\, part = \left\lfloor\frac{umerator}{Denominator}\right\rfloorWholenumberpart=⌊Denominatorumerator​⌋

STEP 3

Now, plug in the given values for the numerator and denominator to calculate the whole number part.Whole number part=⌊91745⌋Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloorWholenumberpart=⌊45917​⌋

STEP 4

Calculate the whole number part.Whole number part=⌊91745⌋=20Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor =20Wholenumberpart=⌊45917​⌋=20

STEP 5

STEP 6

Plug in the values for the numerator, whole number part, and the denominator to calculate the remainder.Remainder=917−20times45Remainder =917 -20 \\times45Remainder=917−20times45

STEP 7

Calculate the remainder.Remainder=917−20times45=17Remainder =917 -20 \\times45 =17Remainder=917−20times45=17

STEP 8

STEP 9

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Assumptions1. We are asked to express the fraction $\frac{917}{45}$ in the form of a mixed number. . A mixed number is a whole number and a proper fraction combined.

First, we need to divide the numerator by the denominator to find the whole number part of the mixed number. $Whole\, number\, part = \left\lfloor\frac{umerator}{Denominator}\right\rfloor$

Now, plug in the given values for the numerator and denominator to calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor$

Calculate the whole number part.
$Whole\, number\, part = \left\lfloor\frac{917}{45}\right\rfloor =20$

Plug in the values for the numerator, whole number part, and the denominator to calculate the remainder.
$Remainder =917 -20 \\times45$

Calculate the remainder.
$Remainder =917 -20 \\times45 =17$