Convert the following decimals into fractions .
7.2

Answer

To convert the decimal 7.2 into a fraction, follow these steps:

### Step 1: Identify the decimal
The given decimal is 7.2.

### Step 2: Count the digits after the decimal point
In the decimal 7.2, there is 1 digit after the decimal point.

### Step 3: Write the decimal as a fraction
To convert the decimal into a fraction, we can express it as:
\[ \frac{72}{10} \]
Here, 72 is obtained by removing the decimal point from 7.2, and 10 is derived from 10 raised to the power of the number of digits after the decimal (which is 1).

### Step 4: Simplify the fraction
Now, we need to simplify the fraction \(\frac{72}{10}\). We can do this by finding the greatest common divisor (GCD) of 72 and 10, which is 2.
Now, divide both the numerator and the denominator by 2:
\[ \frac{72 \div 2}{10 \div 2} = \frac{36}{5} \]

### Step 5: Write the final answer
Thus, the decimal 7.2 can be expressed as the fraction:
\[ \frac{36}{5} \]

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