To convert a decimal number to a fraction, we need to identify the place value of the last digit after the decimal point. In this case, the last digit is 5 and it is in the thousandths place (3 places after the decimal point). Therefore, we can write 0.875 as 875/1000.
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common factor, which is 125.
Dividing 875 by 125, we get 7.
Dividing 1000 by 125, we get 8.
Therefore, 0.875 as a fraction in its simplest form is 7/8.
We can check this answer by converting 7/8 back to a decimal. To do this, we divide the numerator by the denominator:
7 ÷ 8 = 0.875
So, the fraction 7/8 is equivalent to the decimal 0.875.
Therefore, the answer to the question “what is 0.875 as a fraction?” is 7/8.
In conclusion, to convert a decimal to a fraction, we need to identify the place value of the last digit after the decimal point, write the decimal as a fraction with the last digit in the denominator, simplify the fraction if possible, and check the answer by converting the simplified fraction back to a decimal.