1 7/12 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Converting a mixed number to a decimal involves understanding both fractions and decimals. A mixed number consists of a whole number and a fraction. The fraction has a numerator (top number) representing parts of the whole, and a denominator (bottom number) indicating how many parts make up the whole. Decimals express numbers as parts of ten, separating the whole from the fractional part with a decimal point. The digits to the right of the decimal point represent the fractional part.

What is 1 7/12 as a decimal?

$1 7/12 as a decimal$

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...

Important Glossaries for 1 7/12 as a decimal

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.