What is 2 7/8 as a improper fraction

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Decimals have a whole number and the fractional part separated by a decimal point. The decimal present between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number.

Answer: 2 7/8 as a decimal is equal to 2.875

Let's analyze the two methods to write 2 7/8 to decimal.

Explanation: 

Method 1:

Writing 2 7/8 to a decimal using the division method

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

To perform any operation first step is to change any mixed fraction to an improper fraction.

Here, the fraction is 2 7/8 which means we need to perform 23 ÷ 8 [ 2 7/8 is in mixed fraction so on converting to improper fraction we got 23 / 8 ]

This gives the answer as 2.875. So, 2 7/8 to decimal is 2.875

Method 2: 

Writing 2 7/8 to decimal by converting the denominator to powers of 10

Step 1: Find a number such that we can multiply by the denominator of the fraction to make it 10 or 100 or 1000 and so on.

Step 2: Multiply both numerator and denominator by that number to convert it into its equivalent fraction.

Step 3: Then write down just the numerator, putting the decimal point in the correct place, that is, one space from the right-hand side for every zero in the denominator.

2 7/8 = 23/8 = (23 × 25) / (8 × 25) = 575/200 = 287.5 / 100 = 2.875

Irrespective of the methods used, the answer to 2 7/8 to decimal will always remain the same.

You can also verify your answer using Cuemath's Fraction to Decimal Calculator.

Thus, 2 7/8 as a decimal is equal to 2.875.

Calculator Use

Follow these 3 steps to convert mixed numbers to improper fractions:

1. Multiply the whole number by the denominator
2. Add the answer from Step 1 to the numerator
3. Write answer from Step 2 over the denominator

A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.

Example: Convert the following mixed number to an improper fraction.

\( 3\dfrac{5}{9} \)

Step 1: Multiply the denominator (the bottom number in the fraction) and the whole number

9 × 3 = 27

Step 2: Add the answer from Step 1 to the numerator (the top number in the fraction)

27 + 5 = 32

Step 3: Write answer from Step 2 over the denominator

\( \dfrac{32}{9} \)

As an alternative, once you get comfortable with the steps, you can simplify the process and do all 3 steps at once:

\( 3\dfrac{5}{9}=\dfrac{9\times3+5}{9}=\dfrac{32}{9} \)

Use the Simplifying Fractions Calculator to convert improper fractions to mixed numbers.

Given Mixed Number is 2 7/8

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 2 and the fractional part is 7/8.

On adding them, they can be written as:

2/1 + 7/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 2 is multiplied with the denominator of the second fraction 8.

2 x 8 + 7/8

16 + 7/8

After multiplying, the numerators 16 and 7 should be added.

23/8

The fraction value we get is 23/8.

After converting the Mixed Number 2 7/8 to the Improper Fraction,the result is 23/8.

1. How do you convert mixed number 2 7/8 to improper fraction?

Multiply the denominator in the fraction with whole number and then add the result to numerator to obtain the new numerator and keep the denominator the same, thus improper fraction is equal to 23/8 .

2. What is mixed number 2 7/8 in improper fraction?

Mixed Number 2 7/8 in the improper fraction is 23/8 .

3. Where can I get detailed steps for converting 2 7/8 to improper fraction?

You can get detailed steps for converting 2 7/8 to improper fraction on our page.

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