What is 1.17 as a fraction ?
The correct answer and explanation is:
Correct Answer:
1.17 as a fraction is 117/100, which can be simplified to 117/100 (already in simplest form).
300-Word Explanation:
Converting a decimal to a fraction involves expressing the number in terms of whole numbers and powers of ten. Let’s break down how 1.17 becomes a fraction:
- Identify the decimal places:
The number 1.17 has two digits after the decimal point. This tells us that it is in the hundredths place. - Write it as a fraction:
You can rewrite 1.17 as: 117100\frac{117}{100} This is because 1.17 = 117 ÷ 100. - Check for simplification:
To simplify a fraction, you divide the numerator and the denominator by their greatest common divisor (GCD).
For 117 and 100, the GCD is 1, meaning: 117100\frac{117}{100} is already in its simplest form. - Convert to mixed number (optional):
Sometimes, fractions are expressed as mixed numbers for clarity: 117100=117100\frac{117}{100} = 1 \frac{17}{100} So, if you prefer a mixed number, this is another valid form.
Why This Matters:
Understanding how to convert decimals to fractions is useful in many areas of math, science, finance, and daily life—especially when precision is needed. For example, when measuring materials or cooking ingredients, fractions often provide clearer guidance than decimals. Also, fractions are foundational in algebra, calculus, and statistics.
So, 1.17 as a fraction is 117/100, and this represents the exact same quantity—just in a different form.