3 3/8 divided by 2

Guri Bee

less than a minute read

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21-10-2024

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Dividing Mixed Numbers: A Step-by-Step Guide

Dividing mixed numbers might seem daunting, but it's actually a straightforward process. Let's break down how to solve 3 3/8 divided by 2, using a clear step-by-step approach.

Understanding the Problem:

We're essentially trying to figure out how many times 2 fits into 3 3/8.

Step 1: Convert Mixed Numbers to Improper Fractions

• 3 3/8: Multiply the whole number (3) by the denominator (8) and add the numerator (3), keeping the same denominator. This gives us (3*8 + 3)/8 = 27/8.

Step 2: Invert the Second Number and Multiply

• Dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 2 is 1/2.

Step 3: Simplify the Multiplication

• Now we have (27/8) * (1/2) = 27/16

Step 4: Convert the Improper Fraction Back to a Mixed Number

• Divide 27 by 16, which gives us 1 with a remainder of 11. This means the answer is 1 11/16.

Therefore, 3 3/8 divided by 2 equals 1 11/16.

Adding Context:

This problem might appear abstract, but it has real-world applications. Imagine you have 3 3/8 cups of flour and you need to divide it evenly between 2 recipes. The solution, 1 11/16 cups, tells you how much flour to use for each recipe.

Additional Tips:

• Simplifying fractions: Before multiplying, check if the fractions can be simplified. For example, if you had 2/4 * 3/6, you could simplify both fractions to 1/2 * 1/2.
• Visual aids: Drawing a diagram or using manipulatives can help visualize the division process, especially for beginners.

By following these simple steps, you can confidently divide mixed numbers and apply this skill to various practical scenarios.