what is 76/5 simplified

Natashya

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27-12-2024

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The fraction 76/5 represents 76 divided by 5. Since 76 isn't evenly divisible by 5, we'll simplify it into a mixed number. This means expressing it as a whole number and a proper fraction. Let's break down the process:

Understanding Fractions and Mixed Numbers

Before we dive in, let's quickly review the terms:

• Fraction: A number representing a part of a whole, written as a/b (where 'a' is the numerator and 'b' is the denominator).
• Mixed Number: A number consisting of a whole number and a proper fraction (a fraction where the numerator is smaller than the denominator).

How to Simplify 76/5

To simplify 76/5, we perform long division:

1. Divide: Divide the numerator (76) by the denominator (5). 76 ÷ 5 = 15 with a remainder of 1.

2. Write as a Mixed Number: The quotient (15) becomes the whole number part. The remainder (1) becomes the numerator of the fraction, and the denominator remains 5.

Therefore, 76/5 simplified is 15 1/5.

Visualizing the Fraction

Imagine you have 76 cookies, and you want to divide them equally among 5 friends. Each friend would get 15 whole cookies (15 x 5 = 75), and you'd have 1 cookie left over. That leftover cookie represents the 1/5 fraction.

Decimal Representation

While 15 1/5 is the simplified mixed number, you can also express 76/5 as a decimal. Simply divide 76 by 5: 76 ÷ 5 = 15.2

So, 76/5 is also equal to 15.2.

Key Points to Remember

• Long division is the key to simplifying improper fractions (fractions where the numerator is larger than the denominator) into mixed numbers.
• Always ensure the fraction part of your mixed number is in its simplest form. In this case, 1/5 cannot be reduced further.
• Understanding both fraction and decimal representations is helpful for various applications.

This comprehensive guide shows you how to simplify 76/5 and provides different ways to represent the result. Remember to practice these steps for similar problems. You'll quickly master simplifying fractions!