3 1 2 as an improper fraction

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Convert to an Improper Fraction 3 1/2

Step 1

A mixed number is an addition of its whole and fractional parts.

Step 2

Add and .

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To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

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Multiply by .

Add and .

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.

Here we will show you how to convert the mixed number 3 1/2 to an improper fraction.

In other words, we will convert 3 1/2, which contains both a whole number and a fraction, to just an improper fraction.

 3 x 2 = 6

 6 + 1 = 7

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Question

How do you write 312 as an improper fraction.

Solution

Solve for an improper fractionGiven mixed fraction is 312.First, we multiply the whole number part by the denominator value i.e., 2×3=6.Now, add the answer obtained above with the numerator value of fraction i.e., 6+1=7.This is the numerator of the improper fraction.The denominator will be the denominator of the fraction part.Hence, 312 as an improper fraction is written as 72.

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