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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (the number on the top), which in this case is 7, representing how many parts out of the whole; and the denominator (the number below), which is 8, showing how many parts make the whole. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
9 7/8 in decimals can be written as 9.875.
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.