Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 5.4 \div 15 = 0.36 \)
Solution
To solve \( 5.4 \div 15 \), you can follow these steps:
### Step 1: Convert the Division to a Fraction
\[
5.4 \div 15 = \frac{5.4}{15}
\]
### Step 2: Simplify the Fraction
First, it's easier to work with whole numbers. Multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[
\frac{5.4 \times 10}{15 \times 10} = \frac{54}{150}
\]
### Step 3: Reduce the Fraction
Find the greatest common divisor (GCD) of 54 and 150, which is 6. Divide both numerator and denominator by 6:
\[
\frac{54 \div 6}{150 \div 6} = \frac{9}{25}
\]
### Step 4: Convert to Decimal (Optional)
If you prefer the answer in decimal form:
\[
\frac{9}{25} = 0.36
\]
### **Final Answer**
\[
5.4 \div 15 = 0.36
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
You can think of division as sharing! When you divide 5.4 by 15, you’re essentially asking how many times 15 can fit into 5.4. This type of problem is a great exercise for understanding fractions and decimals, which show up in real-life situations like budgeting or cooking measurements. After calculating, you'll find the answer is 0.36. If you find that dividing decimals is a bit tricky, a common mistake is not aligning the decimal point correctly in the quotient, or forgetting to adjust the divisor. A great tip is to first convert both numbers to fractions or to whole numbers by multiplying them by 10 or 100, which makes calculations much simpler!
