Number = 75 × 0.4 × (3/8) = 30 × 3 / 8 = 90 / 8 = 45 / 4 = 11.25 - GetMeFoodie
Understanding the Calculation: 75 × 0.4 × (3/8) = 11.25 – Step-by-Step Breakdown
Understanding the Calculation: 75 × 0.4 × (3/8) = 11.25 – Step-by-Step Breakdown
Mathematical equations often involve multiple steps that can be confusing at first glance. One such calculation — 75 × 0.4 × (3/8) — simplifies neatly to a final result of 11.25. In this article, we break down the steps clearly to help you understand how this conversion works, explaining fractions, decimals, and simplified arithmetic so you can confidently solve similar problems yourself.
Understanding the Context
Step-by-Step Calculation Explained
The original equation:
75 × 0.4 × (3/8) = ?
1. Convert the Decimal to Fraction for Consistency
Image Gallery
Key Insights
The decimal 0.4 is equivalent to the fraction 2/5.
So the expression becomes:
75 × (2/5) × (3/8)
2. Multiply the Fractions and Whole Numbers
We can multiply the values in order:
Start by calculating:
75 × (2/5) = (75 × 2) / 5 = 150 / 5 = 30
🔗 Related Articles You Might Like:
📰 #### 115 📰 Question:** A cylindrical tank has a height of 10 meters and a radius of 3 meters. If the tank is filled with water to a height of 8 meters, what is the volume of water in the tank? Use Ï â 3.14. 📰 Volume of a cylinder = Ï * r² * h 📰 Aetnas Hidden Tool Making Healthcare Healthier Than Ever 9167237 📰 Top Rockwell Tipografia Hack That Designers Are Raving About 2024 9711579 📰 Latest Update Mybiz Verizon Login And The Pressure Mounts 📰 Zhu Yuan 4573320 📰 Bulma Briefs Revealed The Daring Look Taking Over Instagram Now 9436391 📰 Quotes About Failing 📰 Sherwin Williams Repose Gray The Smart Choice For Timeless Interior Elegance 7481586 📰 Daikon No One Expected Could Fix Your Digestive Nightmares Instantly 2724691 📰 There Will Be Blood 6743710 📰 Klay Thompson Net Worth 5063410 📰 Log Me In 123 📰 Official Update The Walking Dead Onslaught And The Reaction Is Immediate 📰 Shock Moment Compare Comprehensive Car Insurance And It Gets Worse 📰 Mortgage Calc 📰 Where To Find Windows Product KeyFinal Thoughts
Now multiply that result by (3/8):
30 × (3/8) = (30 × 3) / 8 = 90 / 8
3. Simplify the Final Fraction
90 / 8 can be simplified by dividing numerator and denominator by 2:
90 ÷ 2 = 45,
8 ÷ 2 = 4,
so:
90 / 8 = 45 / 4
Now convert 45 / 4 to decimal by dividing:
45 ÷ 4 = 11.25
Why This Matters: Real-World Applications
Understanding how to manipulate percentages, fractions, and decimals behind complex multiplications is essential in fields like finance, engineering, and data science. For example, calculating discounts, interest rates, or ratios often involves similar combinations of numbers.
Example: If you’re adjusting a 40% reduction on a value (0.4), then applying another proportion (like 3/8), knowing how to simplify 75 × 0.4 × (3/8) quickly prevents mistakes in calculations.
