# What is 1/245 as a decimal?

## Solution and how to convert 1 / 245 into a decimal

1 / 245 = 0.004

Fraction conversions explained:

• 1 divided by 245
• Numerator: 1
• Denominator: 245
• Decimal: 0.004
• Percentage: 0.004%

To convert 1/245 into 0.004, a student must understand why and how. Decimals and Fractions represent parts of numbers, giving us the ability to represent smaller numbers than the whole. In certain scenarios, fractions would make more sense. Ex: baking, meal prep, time discussion, etc. While decimals bring clarity to others including test grades, sale prices, and contract numbers. So let’s dive into how and why you can convert 1/245 into a decimal.

1 / 245 as a percentage 1 / 245 as a fraction 1 / 245 as a decimal
0.004% - Convert percentages 1 / 245 1 / 245 = 0.004

## 1/245 is 1 divided by 245

Converting fractions to decimals is as simple as long division. 1 is being divided by 245. For some, this could be mental math. For others, we should set the equation. Fractions have two parts: Numerators on the top and Denominators on the bottom with a division symbol between or 1 divided by 245. We must divide 1 into 245 to find out how many whole parts it will have plus representing the remainder in decimal form. Here's how our equation is set up:

### Numerator: 1

• Numerators are the number of parts to the equation, showed above the vinculum or fraction bar. Comparatively, 1 is a small number meaning you will have less parts to your equation. The bad news is that it's an odd number which makes it harder to covert in your head. Ultimately, having a small value may not make your fraction easier to convert. Time to evaluate 245 at the bottom of our fraction.

### Denominator: 245

• Denominators are the total numerical value for the fraction and are located below the fraction line or vinculum. 245 is a large number which means you should probably use a calculator. But the bad news is that odd numbers are tougher to simplify. Unfortunately and odd denominator is difficult to simplify unless it's divisible by 3, 5 or 7. Have no fear, large two-digit denominators are all bark no bite. So grab a pen and pencil. Let's convert 1/245 by hand.

## How to convert 1/245 to 0.004

### Step 1: Set your long division bracket: denominator / numerator

$$\require{enclose} 245 \enclose{longdiv}{ 1 }$$

Use long division to solve step one. This is the same method we all learned in school when dividing any number against itself and we will use the same process for number conversion as well.

### Step 2: Extend your division problem

$$\require{enclose} 00. \\ 245 \enclose{longdiv}{ 1.0 }$$

Uh oh. 245 cannot be divided into 1. So we will have to extend our division problem. Add a decimal point to 1, your numerator, and add an additional zero. This doesn't add any issues to our denominator but now we can divide 245 into 10.

### Step 3: Solve for how many whole groups you can divide 245 into 10

$$\require{enclose} 00.0 \\ 245 \enclose{longdiv}{ 1.0 }$$

Since we've extended our equation we can now divide our numbers, 245 into 10 (remember, we inserted a decimal point into our equation so we we're not accidentally increasing our solution) Multiply this number by 245, the denominator to get the first part of your answer!

### Step 4: Subtract the remainder

$$\require{enclose} 00.0 \\ 245 \enclose{longdiv}{ 1.0 } \\ \underline{ 0 \phantom{00} } \\ 10 \phantom{0}$$

If you don't have a remainder, congrats! You've solved the problem and converted 1/245 into 0.004 If you have a remainder over 245, go back. Your solution will need a bit of adjustment. If you have a number less than 245, continue!

### Step 5: Repeat step 4 until you have no remainder or reach a decimal point you feel comfortable stopping. Then round to the nearest digit.

In some cases, you'll never reach a remainder of zero. Looking at you pi! And that's okay. Find a place to stop and round to the nearest value.

### Why should you convert between fractions, decimals, and percentages?

Converting fractions into decimals are used in everyday life, though we don't always notice. Remember, fractions and decimals are both representations of whole numbers to determine more specific parts of a number. And the same is true for percentages. Though we sometimes overlook the importance of when and how they are used and think they are reserved for passing a math quiz. But they all represent how numbers show us value in the real world. Without them, we’re stuck rounding and guessing. Here are real life examples:

### When you should convert 1/245 into a decimal

Sports Stats - Fractions can be used here, but when comparing percentages, the clearest representation of success is from decimal points. Ex: A player's batting average: .333

### When to convert 0.004 to 1/245 as a fraction

Meal Prep - Body builders need to count macro calories. One of the ways of doing this is measuring every piece of food consumed. This is through halves and quarters in order to keep it consistent.

### Practice Decimal Conversion with your Classroom

• If 1/245 = 0.004 what would it be as a percentage?
• What is 1 + 1/245 in decimal form?
• What is 1 - 1/245 in decimal form?
• If we switched the numerator and denominator, what would be our new fraction?
• What is 0.004 + 1/2?

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