Is 22/32 the same as 3/4?
Understand the Problem
The question is asking whether the fraction 22/32 is equivalent to the fraction 3/4. To determine this, we can simplify 22/32 and see if it equals 3/4.
Answer
No, $\frac{22}{32} \neq \frac{3}{4}$.
Answer for screen readers
No, the fraction $\frac{22}{32}$ is not equivalent to the fraction $\frac{3}{4}$.
Steps to Solve
- Simplify the fraction 22/32
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (22) and the denominator (32).
The GCD of 22 and 32 is 2, since both numbers can be divided by 2.
Now, we divide both the numerator and the denominator by 2:
$$ \frac{22 \div 2}{32 \div 2} = \frac{11}{16} $$
- Compare with the fraction 3/4
Next, we need to see if the simplified fraction $\frac{11}{16}$ is equivalent to $\frac{3}{4}$.
To check this, we can cross-multiply:
$$ 11 \times 4 \quad \text{and} \quad 3 \times 16 $$
Calculate each side:
- Left side: $11 \times 4 = 44$
- Right side: $3 \times 16 = 48$
Since $44 \neq 48$, these fractions are not equivalent.
No, the fraction $\frac{22}{32}$ is not equivalent to the fraction $\frac{3}{4}$.
More Information
When simplifying fractions, always find the GCD to reduce them to their simplest form. In this case, simplifying $\frac{22}{32}$ gives $\frac{11}{16}$, which is not equal to $\frac{3}{4}$. Understanding this process helps with identifying equal fractions effectively.
Tips
- Miscalculating the GCD: Always double-check your calculations when finding the GCD.
- Forgetting to simplify both the numerator and the denominator, leading to an incorrect simplified fraction.
