To simplify the fraction 160200, we need to find the greatest common factor (GCF) of the numerator and denominator.
However, the fraction appears to be missing a denominator. Assuming it is meant to be written as \( \frac{160}{200} \), let's simplify this.
- The prime factors of 160 are \( 2^5 \times 5 \).
- The prime factors of 200 are \( 2^3 \times 5^2 \).
To find the GCF, we take the lowest powers of the common factors:
- For \( 2 \), the minimum power is \( 2^3 \).
- For \( 5 \), the minimum power is \( 5^1 \).
Thus, the GCF is \( 2^3 \times 5^1 = 8 \times 5 = 40 \).
Now, we can simplify \( \frac{160}{200} \) using the GCF:
\[ \frac{160 \div 40}{200 \div 40} = \frac{4}{5} \]
Therefore, the simplified fraction is \( \frac{4}{5} \).
The correct simplification based on the options provided is:
4 fifths.
1 answer