-5 7/12 as a Decimal

Answer

-5 7/12 in decimals can be written as -5.5833... It is a recurring decimal, showing it will repeat the same sequence infinitely.

Explanation

To get -5 7/12 in decimal, we will use the division method for the fractional part. Here, we consider 7 as the numerator and 12 as the denominator. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: Divide 7 by 12 using long division. As 7 is smaller than 12, it can't be divided directly, so we introduce a decimal point and add zeros to the dividend.

Step 3: 7 divided by 12 gives 0.5833..., a recurring decimal.

Step 4: Combine this result with the whole number part, -5, to get -5.5833...

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• 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.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.