Mixed Numbers


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What Are Mixed Numbers?

A mixed number is a way of expressing a number that has both a whole part and a fractional part. It’s a combination of a whole number and a fraction. This is especially useful when you have a quantity that’s more than 1 but not a whole number.

Structure of Mixed Numbers

A mixed number is written with a whole number followed by a fraction, like 2 12, which means 2 plus 12.

Converting Mixed Numbers to Improper Fractions

To work with mixed numbers in calculations, it’s often helpful to convert them into improper fractions (where the numerator is larger than the denominator).

Steps to Convert a Mixed Number to an Improper Fraction:

  1. Multiply the Whole Number by the Denominator: Take the whole number part of the mixed number and multiply it by the denominator of the fraction part.
  2. Add the Numerator: Add this product to the numerator of the fraction part.
  3. Write Over the Original Denominator: Place this sum over the original denominator.

Real-life Examples

Example 1: Baking

Imagine you’re baking and the recipe calls for 2 12 cups of flour. This means you need 2 whole cups of flour plus another half cup.

Example 2: Measuring Length

Let’s say a board measures 4 34 feet in length. This means the board is 4 whole feet long plus another 34 of a foot.

Converting 2 12 to an Improper Fraction:

  1. Multiply the whole number (2) by the denominator (2): 2×2=4.
  2. Add the numerator (1) to this product: 4+1=5.
  3. Write this sum over the original denominator (2): 52.

So, 2 12 as an improper fraction is 52.

Why Use Mixed Numbers?

Mixed numbers are especially useful in everyday life, such as in cooking, construction, or any situation where measurements aren’t exact whole numbers but are more than 1.


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