1 6/7 as a Decimal

Answer

1 6/7 in decimal can be written as 1.8571. It is a non-recurring decimal as it terminates.

Explanation

To convert 1 6/7 to a decimal, convert the fractional part 6/7 to a decimal. Then add this to the whole number 1. Let's see the step-by-step breakdown of the process.

Step 1: Identify the whole number and the fractional part. The whole number is 1, and the fraction is 6/7.

Step 2: Convert the fraction 6/7 to a decimal using long division.

Step 3: Divide 6 by 7. Since 6 is smaller than 7, we will add a decimal and a zero, turning 6 into 60.

Step 4: 7 goes into 60 eight times (7 × 8 = 56). Write 8 in the quotient and subtract 56 from 60, giving 4.

Step 5: Bring down another 0, making it 40. 7 goes into 40 five times (7 × 5 = 35). Write 5 in the quotient and subtract 35 from 40, giving 5.

Step 6: Bring down another 0, making it 50. 7 goes into 50 seven times (7 × 7 = 49). Write 7 in the quotient and subtract 49 from 50, giving 1.

Step 7: Bring down another 0, making it 10. 7 goes into 10 one time (7 × 1 = 7). Write 1 in the quotient and subtract 7 from 10, giving 3.

Step 8: Bring down another 0, making it 30. 7 goes into 30 four times (7 × 4 = 28). Write 4 in the quotient and subtract 28 from 30, giving 2.

Step 9: Keep repeating the division process to get the decimal 0.8571 for 6/7.

Step 10: Add the whole number 1 to the decimal 0.8571 to get 1.8571.

The answer for 1 6/7 as a decimal is 1.8571.

• 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.

• Non-Recurring Decimal: A decimal that terminates and does not repeat infinitely.