Is 3/4 bigger than 6/8?
Understand the Problem
The question is asking to compare the two fractions, 3/4 and 6/8, to determine which one is bigger.
Answer
$\frac{3}{4} = \frac{6}{8}$
Answer for screen readers
The two fractions, $\frac{3}{4}$ and $\frac{6}{8}$, are equal.
Steps to Solve
- Finding a Common Denominator
To compare the fractions $\frac{3}{4}$ and $\frac{6}{8}$, we might want to express them with a common denominator. The least common denominator (LCD) for 4 and 8 is 8.
- Convert Fraction $\frac{3}{4}$
Now, we need to convert $\frac{3}{4}$ to have a denominator of 8.
To do this, we multiply both the numerator and the denominator by 2:
$$ \frac{3 \times 2}{4 \times 2} = \frac{6}{8} $$
- Compare the Fractions
Now we can compare the two fractions. We have:
$$ \frac{6}{8} \text{ and } \frac{6}{8} $$
Since both fractions are equal, we can conclude:
$$ \frac{3}{4} = \frac{6}{8} $$
The two fractions, $\frac{3}{4}$ and $\frac{6}{8}$, are equal.
More Information
It's interesting to note that these fractions represent the same value. Simplifying or finding equivalent fractions is a common practice in math that helps in many situations, such as adding, subtracting, or comparing fractions.
Tips
- Incorrectly assuming one fraction is larger without finding a common denominator. Always check by converting fractions to the same base for comparison.
