To convert the decimal 2.875 into a fraction, follow these steps:
Separate the whole number and decimal parts: [ 2.875 = 2 + 0.875 ]
Convert the decimal part (0.875) to a fraction:
- Write 0.875 as (\frac{875}{1000}).
- Simplify the fraction by finding the greatest common divisor (GCD) of 875 and 1000, which is 125. [ \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{23}{8} ]
Final Answer: [ \boxed{\dfrac{23}{8}} ]
The decimal 2.875 as a fraction is \dfrac{23}{8}.
How do you convert a decimal to a fraction?
+To convert a decimal to a fraction, write the decimal part as a fraction over a power of 10 (based on the number of decimal places), simplify if possible, and then combine with the whole number part if applicable.
Why is 0.875 equal to (\dfrac{7}{8})?
+0.875 is (\dfrac{875}{1000}). Simplifying by dividing numerator and denominator by 125 gives (\dfrac{7}{8}).
Can 2.875 be expressed as a mixed number?
+Yes, 2.875 can be expressed as the mixed number (2 \dfrac{7}{8}), which is equivalent to the improper fraction (\dfrac{23}{8}).
