7 5/6 as a Decimal

Answer:

7 5/6 as a decimal is 7.8333... It is a recurring decimal, meaning the digit 3 repeats infinitely.

Explanation:

To convert 7 5/6 to a decimal, we separate the whole number and the fraction. The whole number 7 remains as is. To convert 5/6 to a decimal, we use division:

Step 1: Identify the numerator and denominator. The numerator (5) is the dividend, and the denominator (6) is the divisor.

Step 2: As 5 is smaller than 6, we use the decimal method, adding a 0 to the dividend (making it 50) and a decimal point in the quotient.

Step 3: Divide 50 by 6. The closest multiple is 6 × 8 = 48.

Step 4: Place 8 in the quotient, and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0, making it 20. Divide 20 by 6. The closest multiple is 6 × 3 = 18.

Step 6: Place 3 in the quotient, and subtract 18 from 20, leaving 2. Continue this process, and you will see the decimal repeats as 0.8333...

Thus, 7 5/6 as a decimal is 7.8333...

• Mixed Number: A number consisting of an integer and a fraction.

• Decimal: A numerical representation that includes a decimal point to separate the whole number from the fractional part.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, indicating how many parts make up a whole.