7.16 as a fraction
Understand the Problem
The question is asking for the conversion of the decimal number 7.16 into a fraction. This involves expressing the decimal in terms of a numerator and denominator that represent the same value.
Answer
The fraction equivalent of the decimal 7.16 is $\frac{179}{25}$.
Answer for screen readers
The decimal 7.16 can be expressed as the fraction $\frac{179}{25}$.
Steps to Solve
-
Identify the decimal part and integer part The decimal number 7.16 consists of an integer part (7) and a decimal part (0.16).
-
Convert the decimal part to a fraction To convert the decimal part 0.16 into a fraction, recognize that 0.16 can be expressed as $\frac{16}{100}$, since there are two decimal places in 0.16.
-
Simplify the fraction Next, simplify $\frac{16}{100}$ by finding the greatest common divisor (GCD) of 16 and 100. The GCD is 4. So, $$ \frac{16 \div 4}{100 \div 4} = \frac{4}{25} $$
-
Combine the integer and the fractional part The mixed number can now be expressed as: $$ 7 \frac{4}{25} $$ To express this as an improper fraction, convert 7 to a fraction: $$ 7 = \frac{7 \times 25}{25} = \frac{175}{25} $$ Now combine: $$ \frac{175}{25} + \frac{4}{25} = \frac{179}{25} $$
-
Final result So, the decimal number 7.16 as a fraction is: $$ \frac{179}{25} $$
The decimal 7.16 can be expressed as the fraction $\frac{179}{25}$.
More Information
Converting decimals to fractions is useful in various applications, including finance and engineering. It can also help in understanding proportions and ratios better.
Tips
- Forgetting to simplify the fraction after converting the decimal part.
- Not properly combining the integer and fractional parts correctly.
