12/16 as a percent

Guri Bee

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18-10-2024

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Converting Fractions to Percentages: 12/16 Explained

Ever wondered how to turn a fraction like 12/16 into a percentage? It's actually a simple process! Here's a breakdown of the steps and a few things to keep in mind:

Understanding Percentages

A percentage represents a part out of a hundred. So, 50% means 50 out of every 100. To express a fraction as a percentage, we need to find out what that fraction represents out of 100.

Step 1: Simplifying the Fraction

• 12/16 can be simplified by finding the greatest common factor (GCF). The GCF of 12 and 16 is 4.
• Dividing both the numerator and denominator by 4, we get 3/4.

Step 2: Converting to a Decimal

• Divide the numerator (3) by the denominator (4): 3 ÷ 4 = 0.75

Step 3: Multiply by 100

• Multiply the decimal (0.75) by 100: 0.75 x 100 = 75

Therefore, 12/16 is equivalent to 75%.

Practical Example: Baking a Cake

Imagine you're baking a cake and the recipe calls for 12/16 of a cup of flour. You might want to know what that amount represents in percentage terms. Following our steps above, you'd find that you need 75% of a cup of flour.

Key Takeaways:

• Simplifying fractions makes the conversion process easier.
• Dividing by the denominator converts a fraction to a decimal.
• Multiplying by 100 converts the decimal to a percentage.

Important Note: The process remains the same for any fraction. If you're dealing with larger fractions, using a calculator can be helpful for the division and multiplication steps.

Source: This article was inspired by discussions on the GitHub platform. The initial steps of simplifying the fraction and converting to a decimal are common practices in mathematics.