Write 23/4 as a decimal.
Understand the Problem
The question is asking to convert the fraction ( \frac{23}{4} ) into a decimal format. To solve this, we will divide 23 by 4.
Answer
The decimal equivalent of \( 23\frac{3}{4} \) is $23.75$.
Answer for screen readers
The decimal equivalent of ( 23\frac{3}{4} ) is ( 23.75 ).
Steps to Solve
- Convert the Mixed Number to an Improper Fraction
A mixed number can be expressed as an improper fraction. To convert ( 23\frac{3}{4} ) to an improper fraction, we multiply the whole number (23) by the denominator (4) and add the numerator (3).
$$ 23 \times 4 + 3 = 92 + 3 = 95 $$
So, ( 23\frac{3}{4} = \frac{95}{4} ).
- Perform the Division
Now, we will divide the improper fraction ( \frac{95}{4} ) to convert it into a decimal. We divide 95 by 4.
$$ 95 \div 4 = 23.75 $$
- Write the Final Answer
Thus, ( 23\frac{3}{4} ) in decimal format is 23.75.
The decimal equivalent of ( 23\frac{3}{4} ) is ( 23.75 ).
More Information
When converting a mixed number into a decimal, it's helpful to first express it as an improper fraction. The result ( 23.75 ) can also be interpreted as 23 whole units and 75 hundredths.
Tips
- Incorrect Division: Sometimes, reducing the fraction or performing the division incorrectly leads to mistakes. Double-check your arithmetic.
- Not Converting Properly: Forgetting to convert from a mixed number to an improper fraction before dividing can lead to errors.
AI-generated content may contain errors. Please verify critical information
