9 7/8 as a Decimal

Answer

9 7/8 in decimals can be written as 9.875.

Explanation

To convert 9 7/8 into a decimal, we will first convert the fraction 7/8 into a decimal and then add it to the whole number 9. Here's the step-by-step breakdown of the process:

Step 1: Identify the whole number, numerator, and denominator. The whole number is 9, the numerator is 7, and the denominator is 8.

Step 2: To convert 7/8 into a decimal, divide the numerator by the denominator.

Step 3: Divide 7 by 8. Since 7 is smaller than 8, start by adding a decimal point and a zero, making it 70. Divide 70 by 8.

Step 4: 8 goes into 70 eight times (8 × 8 = 64). Write 8 in the quotient place and subtract 64 from 70, which gives 6.

Step 5: Bring down another 0, making it 60, and divide by 8 again. 8 goes into 60 seven times (8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60, which gives 4.

Step 6: Bring down another 0, making it 40, and divide by 8. 8 goes into 40 five times exactly (8 × 5 = 40). This leaves no remainder. The result of 7/8 is 0.875.

Step 7: Add the whole number 9 to the decimal 0.875 to get 9.875.

The answer for 9 7/8 as a decimal is 9.875.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the 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.
   
• Mixed Number: A number that combines a whole number and a fraction.