Convert 7 3/5 to a decimal.
Understand the Problem
The question is asking for the decimal equivalent of the mixed number 7 3/5. To convert a mixed number to a decimal, we need to first convert the fractional part into a decimal and then add it to the whole number part.
Answer
The decimal equivalent is \( 7.6 \).
Answer for screen readers
The decimal equivalent of the mixed number ( 7 \frac{3}{5} ) is ( 7.6 ).
Steps to Solve
- Convert the Fraction to Decimal
To convert the fractional part, which is $ \frac{3}{5} $, to a decimal, we can divide the numerator by the denominator:
$$ \frac{3}{5} = 0.6 $$
- Add the Decimal to the Whole Number
Now, we take the whole number part (7) and add the decimal we just found (0.6):
$$ 7 + 0.6 = 7.6 $$
The decimal equivalent of the mixed number ( 7 \frac{3}{5} ) is ( 7.6 ).
More Information
Converting mixed numbers to decimals is a useful skill in many real-world applications, such as cooking, budgeting, and measurement. Understanding how to manipulate fractions and addition helps in these situations.
Tips
- A common mistake is to add the whole number to the numerator of the fraction instead of converting the fraction to a decimal first. Always remember to convert the fractional part correctly before adding it to the whole number.
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