Question

What fraction is equivalent to 3.875
Explain your answer
3 1/8
3 1/2
3 5/8
3 7/8

Answer 1

To convert the decimal 3.875 to a fraction, we start by separating the whole number from the decimal part:

1. The whole number part is 3.
2. The decimal part is 0.875.

Next, we convert the decimal 0.875 into a fraction. We can do this by recognizing that:

0.875 = 875 / 1000

Now, to simplify 875/1000, we can find the greatest common divisor (GCD) of 875 and 1000.

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875.
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.

The GCD is 125.

Now, we divide both the numerator and the denominator by their GCD:

875 ÷ 125 = 7
1000 ÷ 125 = 8

So, 0.875 can be simplified to the fraction 7/8.

Hence, we have:

3.875 = 3 + 0.875 = 3 + 7/8 = 3 7/8.

Now, among the options provided:
- 3 1/8
- 3 1/2
- 3 5/8
- **3 7/8**

The equivalent fraction to 3.875 is **3 7/8**.