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72.5 as a fraction

Understand the Problem

The question is asking how to convert the decimal number 72.5 into a fraction. This involves identifying the decimal part and expressing it over a denominator to simplify it into a proper fraction.

Answer

$\frac{145}{2}$
Answer for screen readers

The decimal number 72.5 can be converted to the fraction $\frac{145}{2}$.

Steps to Solve

  1. Identify the whole number and decimal part

The number 72.5 has a whole part (72) and a decimal part (0.5).

  1. Convert the decimal part to a fraction

To convert the decimal part (0.5) into a fraction, we recognize that 0.5 can be represented as $\frac{5}{10}$.

  1. Simplify the fraction

Now, simplify $\frac{5}{10}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 5:

$$ \frac{5 \div 5}{10 \div 5} = \frac{1}{2} $$

  1. Combine the whole number and the fraction

Now, combine the whole number (72) with the simplified fraction ($\frac{1}{2}$). This is represented as:

$$ 72 \frac{1}{2} $$

Alternatively, in improper fraction form, we convert it by multiplying the whole number by the denominator and adding the numerator:

$$ 72 \times 2 + 1 = 144 + 1 = 145 $$

So, the improper fraction is $\frac{145}{2}$.

The decimal number 72.5 can be converted to the fraction $\frac{145}{2}$.

More Information

Converting decimals to fractions is a useful skill in math, particularly in topics involving rational numbers. Understanding this process can help in simplifying complex calculations and in real-life applications such as finance and measurements.

Tips

  • Forgetting to simplify the fractional part, leading to an incorrect final answer.
  • Misrepresenting the combination of the whole number and fractional part.
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