Answer:
23/8
Step-by-step explanation:
Convert 2.875 to a fraction: [ 2.875 = 2 + 0.875 ]
Convert 0.875 to a fraction: [ 0.875 = \frac{875}{1000} ]
Simplify (\frac{875}{1000}): [ \frac{875}{1000} = \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} ]
Combine the whole number and the fractional part: [ 2 + \frac{7}{8} = \frac{16}{8} + \frac{7}{8} = \frac{16 + 7}{8} = \frac{23}{8} ]
So, the fraction equivalent to 2.875 is (\frac{23}{8}).Compare (\frac{23}{8}) to the given options: [ 2.875 = \frac{23}{8} ]Therefore, the correct fraction from the options given is: [ 23/8 ]So, the answer is 23/8.