What are 3 equivalent fractions for 4/8
The Correct Answer and Explanation is :
Three equivalent fractions for ( \frac{4}{8} ) are:
- ( \frac{2}{4} )
- ( \frac{1}{2} )
- ( \frac{8}{16} )
Explanation:
Equivalent fractions represent the same value or proportion, even though the numbers in the numerator (top part) and denominator (bottom part) are different. To find equivalent fractions, you can either simplify a fraction by dividing both the numerator and the denominator by the same number (a common divisor), or you can expand the fraction by multiplying both the numerator and the denominator by the same number.
Simplifying ( \frac{4}{8} ):
- ( \frac{4}{8} ) can be simplified by dividing both the numerator (4) and the denominator (8) by their greatest common divisor (GCD), which is 4.
[
\frac{4 \div 4}{8 \div 4} = \frac{1}{2}
]
Thus, ( \frac{1}{2} ) is an equivalent fraction. - Another way to simplify ( \frac{4}{8} ) is by dividing by a smaller common divisor, like 2.
[
\frac{4 \div 2}{8 \div 2} = \frac{2}{4}
]
So, ( \frac{2}{4} ) is also an equivalent fraction.
Expanding ( \frac{4}{8} ):
- You can also create equivalent fractions by multiplying both the numerator and denominator by the same number. For example, multiplying both by 2 gives:
[
\frac{4 \times 2}{8 \times 2} = \frac{8}{16}
]
Therefore, ( \frac{8}{16} ) is another equivalent fraction.
In summary, whether you simplify or expand a fraction, the proportion remains the same, meaning all these fractions ( \frac{4}{8}, \frac{2}{4}, \frac{1}{2}, \frac{8}{16} ) represent the same part of a whole.