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Answer :
Let's solve the division problem step-by-step:
The division problem is to divide the mixed number [tex]\(3 \frac{1}{3}\)[/tex] by the number [tex]\(5.634\)[/tex].
### Step 1: Convert the Mixed Number to an Improper Fraction
1. The mixed number [tex]\(3 \frac{1}{3}\)[/tex] can be converted to an improper fraction. To do so, multiply the whole number (3) by the denominator of the fraction part (3), and then add the numerator (1):
[tex]\[
3 \times 3 + 1 = 9 + 1 = 10
\][/tex]
So, [tex]\(3 \frac{1}{3}\)[/tex] becomes [tex]\(\frac{10}{3}\)[/tex].
### Step 2: Perform the Division
2. We now need to divide [tex]\(\frac{10}{3}\)[/tex] by [tex]\(5.634\)[/tex].
3. When dividing by a decimal, it's often easier to first change everything to fractions. Here, we'll directly perform the division:
[tex]\[
\frac{10}{3} \div 5.634
\][/tex]
4. For practical calculation, it’s helpful to consider the calculator result, which is approximately:
[tex]\[
\frac{10}{3} \div 5.634 \approx 1.772
\][/tex]
5. The result indicates that [tex]\(3 \frac{1}{3}\)[/tex] divided by [tex]\(5.634\)[/tex] gives approximately 1.772 when calculated.
This result shows the simplified value of the division, representing how many times [tex]\(5.634\)[/tex] fits into [tex]\(3 \frac{1}{3}\)[/tex].
The division problem is to divide the mixed number [tex]\(3 \frac{1}{3}\)[/tex] by the number [tex]\(5.634\)[/tex].
### Step 1: Convert the Mixed Number to an Improper Fraction
1. The mixed number [tex]\(3 \frac{1}{3}\)[/tex] can be converted to an improper fraction. To do so, multiply the whole number (3) by the denominator of the fraction part (3), and then add the numerator (1):
[tex]\[
3 \times 3 + 1 = 9 + 1 = 10
\][/tex]
So, [tex]\(3 \frac{1}{3}\)[/tex] becomes [tex]\(\frac{10}{3}\)[/tex].
### Step 2: Perform the Division
2. We now need to divide [tex]\(\frac{10}{3}\)[/tex] by [tex]\(5.634\)[/tex].
3. When dividing by a decimal, it's often easier to first change everything to fractions. Here, we'll directly perform the division:
[tex]\[
\frac{10}{3} \div 5.634
\][/tex]
4. For practical calculation, it’s helpful to consider the calculator result, which is approximately:
[tex]\[
\frac{10}{3} \div 5.634 \approx 1.772
\][/tex]
5. The result indicates that [tex]\(3 \frac{1}{3}\)[/tex] divided by [tex]\(5.634\)[/tex] gives approximately 1.772 when calculated.
This result shows the simplified value of the division, representing how many times [tex]\(5.634\)[/tex] fits into [tex]\(3 \frac{1}{3}\)[/tex].
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Rewritten by : Brahmana