What is equivalent to 9/4?
Understand the Problem
The question is asking for a number that has the same value as the fraction 9/4. This could involve finding a decimal representation, converting it to a mixed number, or identifying it among other equivalent fractions.
Answer
$2.25$, $2 \frac{1}{4}$, and equivalent fractions such as $\frac{18}{8}$ or $\frac{27}{12}$.
Answer for screen readers
The number that has the same value as the fraction $\frac{9}{4}$ can be represented in several forms:
- As a decimal: $2.25$
- As a mixed number: $2 \frac{1}{4}$
- As equivalent fractions: e.g., $\frac{18}{8}$ or $\frac{27}{12}$.
Steps to Solve
- Convert the Fraction to a Decimal
To convert the fraction $\frac{9}{4}$ to a decimal, you divide the numerator (9) by the denominator (4).
$$ 9 \div 4 = 2.25 $$
- Identify the Mixed Number Representation
Next, we can convert the improper fraction $\frac{9}{4}$ into a mixed number.
To do this, we divide 9 by 4:
- The whole number part is 2 (since $4 \times 2 = 8$).
- The remainder is 1 (since $9 - 8 = 1$).
So we write it as:
$$ 2 \frac{1}{4} $$
- List Equivalent Fractions
Equivalent fractions can be found by multiplying the numerator and denominator of the original fraction by the same non-zero number. For example:
- Multiplying by 2:
$$ \frac{9 \times 2}{4 \times 2} = \frac{18}{8} $$
- Multiplying by 3:
$$ \frac{9 \times 3}{4 \times 3} = \frac{27}{12} $$
These fractions are equivalent to $\frac{9}{4}$.
The number that has the same value as the fraction $\frac{9}{4}$ can be represented in several forms:
- As a decimal: $2.25$
- As a mixed number: $2 \frac{1}{4}$
- As equivalent fractions: e.g., $\frac{18}{8}$ or $\frac{27}{12}$.
More Information
The fraction $\frac{9}{4}$ is an improper fraction, meaning the numerator is larger than the denominator. It can be converted into a decimal or a mixed number to better understand its value. The decimal form, $2.25$, tells us how much the fraction is worth in a more relatable format.
Tips
- When converting to a decimal, some may forget to carry out the long division correctly. Always double-check your division calculations.
- When finding the mixed number representation, ensure to compute the whole number and remainder correctly.
