# How to Add and subtract Fractions with Like Denominators in Recipes

When it comes to adding and subtracting fractions with like denominators in recipes, the process is quite simple.

## A step-by-step guide to Adding and Subtracting Fractions with Like Denominators in Recipes

Adding and subtracting fractions with like denominators in recipes is a valuable skill, especially when you need to adjust recipe quantities. Here’s a simple step-by-step guide on how to do it:

**Step 1: Understand the Basic Concept of Fractions**

A fraction consists of two parts: a numerator (the top number) and a denominator (the bottom number). In the context of a recipe, fractions usually represent parts of a whole—like \(\frac{1}{2}\) cup of sugar, \(\frac{3}{4}\) tablespoon of salt, etc.

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### Step 2: Identity-Like Denominators

The denominator of a fraction tells you how many parts make up a whole. When fractions have the same denominator, they’re referred to as “like fractions”. For example, \(\frac{1}{2}\) and \(\frac{3}{2}\) are like fractions because they have the same denominator—2.

**Step 3: Adding Fractions with Like Denominators**

When you add fractions with the same denominator, you simply add the numerators and keep the denominator the same.

For example, if you’re doubling a recipe that calls for \(\frac{1}{4}\) cup of milk and the recipe makes 2 servings, you would add \(\frac{1}{4}\) cup for each serving. Here’s how you’d do it:

\(\frac{1}{4}\) (for the first serving) + \(\frac{1}{4}\) (for the second serving) = \(\frac{2}{4}\)

This can be simplified to \(\frac{1}{2}\), so you would need \(\frac{1}{2}\) cup of milk for 2 servings.

**Step 4: Subtracting Fractions with Like Denominators**

Subtracting fractions with like denominators is similar to addition. You simply subtract the numerators and keep the denominator the same.

For example, if a recipe calls for \(\frac{3}{4}\) cup of sugar, but you want to reduce the sugar by \(\frac{1}{4}\) cup, you would subtract \(\frac{1}{4}\) from \(\frac{3}{4}\). Here’s how you’d do it:

\(\frac{3}{4}\) (original amount) – \(\frac{1}{4}\) (reduction) = \(\frac{2}{4}\)

This simplifies to \(\frac{1}{2}\), so you would use \(\frac{1}{2}\) cup of sugar.

**Step 5: Simplify the Fraction**

Whenever possible, simplify your fractions. If the numerator and denominator are both divisible by the same number, divide them to simplify the fraction. For example, \(\frac{2}{4}\) can be simplified to \(\frac{1}{2}\), because 2 can divide both the numerator and the denominator.

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**Step 6: Convert Improper Fractions to Mixed Numbers**

Sometimes, when adding fractions, you may end up with an “improper fraction”—one where the numerator is larger than the denominator. For example, if you add \(\frac{3}{4}\) and \(\frac{3}{4}\), you’ll get \(\frac{6}{4}\).

You can convert this to a mixed number by dividing the numerator by the denominator:

\(6 ÷ 4 = 1 R2\)

So, \(\frac{6}{4} = 1 \frac{2}{4}\).

You can then simplify the fraction to get \(1 \frac{1}{2}\).

Understanding how to add and subtract fractions with like denominators can help you easily modify recipes to suit your needs. Keep practicing, and you’ll become a pro at it in no time!

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