What is 3.375 written as a fraction in simplest form?

Step 1:

Recognize that 3.375 is the same as \(3 + 0.375\).  
 

Step 2:

Write 0.375 as a fraction: 

\(0.375 = \frac { 375} { 1000} \).  
 

Step 3:

Simplify \(\frac { 375} { 1000} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 125:   
\[\frac { 375 \div 125} { 1000 \div 125} = \frac { 3} { 8} \]

Step 4:

Combine the whole number and the fraction:   
\[3 + \frac { 3} { 8} = \frac { 24} { 8} + \frac { 3} { 8} = \frac { 27} { 8} \]

Step 5:

So, 3.375 as a fraction in simplest form is \(\frac { 27} { 8} \).

Supplemental Knowledge:

Converting a decimal to a fraction involves expressing the decimal number as a fraction and then simplifying it. Here’s how you can convert a decimal like 3.375 into its simplest fractional form:

1. Write the decimal as a fraction: 
The decimal 3.375 can be written as \(\frac { 3375} { 1000} \) because there are three digits after the decimal point.

2. Find the greatest common divisor (GCD) of 3375 and 1000:
The GCD of 3375 and 1000 is 125. 
3. Divide both the numerator and the denominator by their GCD: 
\[\frac { 3375 ÷ 125} { 1000 ÷ 125} = \frac { 27} { 8} \]

Knowledge in Action:

Understanding decimals to fractions can prove immensely useful across numerous fields - cooking, construction and finance being among them. When following a recipe that calls for ingredients listed as decimals but requires measuring tools marked in fractions to use for accurate measuring tools - knowing how to convert between forms ensures accuracy when following it.

Construction or DIY projects often necessitate precise measurements, making switching between decimals and fractions essential in making accurate cuts and fittings of materials.

To make these conversions even easier, try UpStudy’s Decimals Calculator! This tool helps you quickly convert between decimals and fractions, ensuring your calculations are always accurate. Dive into UpStudy’s live tutor question bank or explore our AI-powered problem-solving services for deeper insights into any math topic you're curious about!