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QuestionCalculate: 416×8=4 \frac{1}{6} \times 8 =

Studdy Solution

STEP 1

Assumptions1. We are multiplying the mixed number 4164 \frac{1}{6} by the whole number8.

STEP 2

First, we need to convert the mixed number 4164 \frac{1}{6} to an improper fraction. We can do this by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part.
Improper fraction=Whole number×Denominator+NumeratorImproper\, fraction = Whole\, number \times Denominator + Numerator

STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
Improper fraction=×6+1Improper\, fraction = \times6 +1

STEP 4

Calculate the improper fraction.
Improper fraction=4×6+1=25Improper\, fraction =4 \times6 +1 =25So, 4164 \frac{1}{6} can be written as 256\frac{25}{6}.

STEP 5

Now that we have the improper fraction, we can multiply this by the whole number8.
Product=Improper fraction×Whole numberProduct = Improper\, fraction \times Whole\, number

STEP 6

Plug in the values for the improper fraction and the whole number to calculate the product.
Product=256×8Product = \frac{25}{6} \times8

STEP 7

Multiply the improper fraction by the whole number.
Product=256×=2006Product = \frac{25}{6} \times = \frac{200}{6}

STEP 8

implify the fraction to get the final answer.
Product=2006=3313Product = \frac{200}{6} =33\frac{1}{3}So, 416×8=33134 \frac{1}{6} \times8 =33\frac{1}{3}.

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