29/4 simplified
Understand the Problem
The question is asking for the simplification of the fraction 29/4, which involves expressing it in its simplest form, typically as a mixed number or decimal.
Answer
$7 \frac{1}{4}$, $7.25$
Answer for screen readers
The fraction $\frac{29}{4}$ converted to a mixed number is $7 \frac{1}{4}$, and as a decimal, it is $7.25$.
Steps to Solve
- Convert to Mixed Number
To convert the improper fraction $\frac{29}{4}$ into a mixed number, divide the numerator (29) by the denominator (4).
$$ 29 \div 4 = 7 \text{ (whole number)} $$
- Find the Remainder
Next, determine the remainder of the division to know what is left over after the whole number.
$$ 29 - (4 \times 7) = 29 - 28 = 1 $$
- Write the Mixed Number
Combine the whole number and the remainder over the original denominator to form the mixed number.
So, the mixed number is
$$ 7 \frac{1}{4} $$
- Convert to Decimal (optional)
If you want to express it as a decimal, calculate the decimal equivalent by dividing the numerator by the denominator.
$$ \frac{29}{4} = 7.25 $$
The fraction $\frac{29}{4}$ converted to a mixed number is $7 \frac{1}{4}$, and as a decimal, it is $7.25$.
More Information
When simplifying or converting fractions, understanding the process of division and remainder can help clarify how to express them in different forms. Mixed numbers are often more intuitive for interpretation, while decimals are useful for specific calculations.
Tips
- Forgetting to include the remainder: Sometimes students forget to find the remainder when converting to mixed numbers.
- Incorrect division: Errors in basic division can lead to wrong mixed numbers or decimals. It's essential to double-check your arithmetic.
