Time for second part: \( \frac{150}{90} = \frac{5}{3} \approx 1.67 \) hours.
["# Time for Second Part: Simplifying ( \frac{150}{90} = \frac{5}{3} \approx 1.67 ) Hours", "Understanding fractions and converting them into decimal form is essential in everyday math, education, and real-life problem-solving. In this second part of our breakdown, we explore the step-by-step simplification of ( \frac{150}{90} ) and explain how this fraction approximates ( 1.67 ) hours—for better time management and realistic scheduling.", "## Simplifying the Fraction ( \frac{150}{90} )", "Fractions represent parts of a whole, and simplifying them makes calculations easier to understand and work with. Let’s simplify ( \frac{150}{90} ):", "### Step 1: Find the Greatest Common Divisor (GCD)\nTo reduce a fraction, divide both the numerator and the denominator by their highest common factor.\nFind GCD of 150 and 90:", "- Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150\n- Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90\n- Common factors: 1, 2, 3, 5, 6, 10, 15, 30 → Greatest is 30", "### Step 2: Divide Numerator by GCD\n[\n\frac{150 \div 30}{90 \div 30} = \frac{5}{3}\n]", "So, ( \frac{150}{90} ) simplifies cleanly to ( \frac{5}{3} ).", "### Step 3: Convert Fraction to Decimal\nTo convert ( \frac{5}{3} ) to a decimal, divide 5 by 3:", "[\n5 \div 3 = 1.\overline{6}\n]", "This repeating decimal approximates to 1.67, meaning ( \frac{5}{3} ) hours is approximately 1 hour and 40 minutes.", "## Why It Matters: ( \frac{5}{3} ) Hours = 1.67 Hours ≈ 1 Hour 40 Minutes", "Understanding unit conversion is vital in planning time efficiently:", "- In work projects, scheduling: Breaking tasks into fractional hours helps estimate duration.\n- In daily planning: Knowing ( 1.67 ) hours translates to nearly 1 and 2/3 hours, helping align expectations around meetings, study time, or travel.\n- In education: Converting fractions to decimal time supports students’ ability to schedule revisions or class durations accurately.", "## Final Summary", "- ( \frac{150}{90} = \frac{5}{3} ) (exact fraction)\n- ( \frac{5}{3} \approx 1.67 ) (decimal with approximation)\n- ( 1.67 ) hours ≈ 1 hour and 40 minutes", "Mastering these conversions strengthens your numerical fluency and enhances real-world planning. Whether calculating travel times, work quotas, or daily goals, transforming fractions into decimals provides clarity and precision.", "For more math tips on fraction simplification and unit conversion, explore our resources to simplify complex problems one step at a time!", "---", "Keywords: simplifying fractions, ( \frac{150}{90} = \frac{5}{3} ), converting fractions to decimals, time conversion, raw math, fractional to decimal, math simplification practice."]
