1 7/12 as a Decimal

Answer

1 7/12 as a decimal can be written as 1.5833... It is a recurring decimal, indicating that the sequence repeats indefinitely.

Explanation

To convert 1 7/12 to a decimal, we first convert the fraction 7/12 into a decimal using division.

Step 1: Identify the numerator (7) and the denominator (12).

Step 2: Since 7 is less than 12, we use a decimal method by adding 0 to the dividend, making it 70, and placing a decimal point in the quotient.

Step 3: Divide 70 by 12. The nearest whole number is 5 because 12 × 5 = 60. Subtract 60 from 70, leaving a remainder of 10.

Step 4: Bring down another 0 to make it 100. Dividing 100 by 12 gives 8 since 12 × 8 = 96. Subtracting 96 leaves 4.

Step 5: Bring down another 0, making it 40. Dividing 40 by 12 gives 3, as 12 × 3 = 36. This process repeats indefinitely.

Step 6: Add the whole number part to the decimal fraction, giving the final result of 1.5833...

Thus, 1 7/12 as a decimal is 1.5833...

• Mixed Number: A number consisting of a whole number and a fraction. Fraction: A numerical quantity representing a part of a whole with a numerator and a denominator.

• Decimal: A number representing a whole number and a fractional part separated by a decimal point.

• Recurring Decimal: A decimal with one or more repeating digits after the decimal point.

• Division Method: A mathematical process to convert fractions to decimals by dividing the numerator by the denominator.