What is 117 151/200 as a decimal
What is 117 151/200 as a decimal
The Correct Answer and Explanation is:
Decimal Conversion:
The mixed number 117 151/200 as a decimal is:
117.755
Explanation
To convert the mixed number 117 151/200 into a decimal, we must understand its components:
- 117 is the whole number part.
- 151/200 is the fractional part.
We convert the fraction into a decimal and then add it to the whole number.
Step 1: Convert the Fraction to a Decimal
We divide the numerator by the denominator: 151200=0.755\frac{151}{200} = 0.755
This is done by performing long division or using a calculator. Here’s a breakdown of the reasoning:
- 200 goes into 151 0 times, so we place a decimal point and add zeros to 151.
- 200 goes into 1510 7 times (7 × 200 = 1400), leaving 110.
- Bring down a zero → 1100. 200 goes into 1100 5 times (5 × 200 = 1000).
- Left with 100. Bring down another 0 → 1000. 200 goes into 1000 5 times.
Thus, 151 ÷ 200 = 0.755.
Step 2: Add the Decimal to the Whole Number
Now, add the decimal part to the whole number: 117+0.755=117.755117 + 0.755 = 117.755
So, the final decimal form of 117 151/200 is 117.755.
Why Decimal Conversion Matters
Understanding how to convert fractions and mixed numbers to decimals is useful in many real-world applications like:
- Finance: Money is usually expressed in decimals, not fractions.
- Science and Engineering: Measurements and calculations often require decimal accuracy.
- Everyday life: Recipes, construction, and budgeting often involve decimal conversions.
Being able to go between fractions and decimals increases your flexibility in solving problems and interpreting information presented in different formats.
✅ Final Answer: 117.755
