7/8 as a Decimal

Answer

7/8 in decimals can be written as 0.875. It is a terminating decimal, meaning it stops after a few decimal places.

Explanation

To get 7/8 in decimal, we will use the division method. Here 7 is smaller than 8, so we will use the decimal method to get 0.875. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: As 7 is smaller than 8, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 7 into 70 and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 8. Let's see how many times 8 fits into 70.

Step 4: 8 fits into 70 eight times because 8 × 8 = 64. We will write 8 in the quotient place and subtract 64 from 70, which gives 6.

Step 5: Bring down another 0 in the dividend place to make it 60 and then continue the division process.

Step 6: 8 fits into 60 seven times because 8 × 7 = 56. Write 7 in the quotient place and subtract 56 from 60, which gives 4.

Step 7: Bring down another 0 to make it 40. 8 fits into 40 five times because 8 × 5 = 40. Write 5 in the quotient place and subtract 40 from 40, giving 0. Since the remainder is 0, the division process stops here.

The answer for 7/8 as a decimal is 0.875.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.