To convert the fraction 7/8 into a decimal, we can use long division or a calculator. Here’s how to do it using long division:
- Write the fraction as a division problem: 7 ÷ 8
- Divide 7 by 8: 0.875
- Write the quotient (0.875) as the decimal equivalent of the fraction 7/8.
So, the decimal equivalent of 7/8 is 0.875.
To understand this better, let’s break it down step by step:
Step 1: Write the fraction as a division problem When we write the fraction 7/8 as a division problem, we put the numerator (7) on top and the denominator (8) on the bottom, with a division sign between them:
7
---
8
This shows us that we want to divide 7 by 8 to get the decimal equivalent of the fraction.
Step 2: Divide 7 by 8 To do the division, we start with the first digit of the numerator (7) and divide it by the denominator (8). We get 0 as the whole number quotient, and 7 as the remainder:
0
-------
8 ) 7
0
We bring down the next digit of the numerator (which is 0), and divide it by the denominator again. We get 0 as the whole number quotient, and 0 as the remainder:
0.
-------
8 ) 7 0
0
We bring down the final digit of the numerator (which is also 0), and divide it by the denominator one last time. We get 8 as the whole number quotient, and 0 as the remainder:
0.8
-------
8 ) 7 0 0
8
Step 3: Write the quotient as the decimal equivalent of the fraction The final quotient we got from dividing 7 by 8 is 0.875. This means that the decimal equivalent of the fraction 7/8 is 0.875.
In summary, to convert a fraction into a decimal, we divide the numerator by the denominator. In the case of 7/8, dividing 7 by 8 gives us 0.875 as the decimal equivalent of the fraction.