3 3/7 as a Decimal

Answer

3 3/7 in decimals can be written as 3.428571. It is a recurring decimal, repeating the sequence 428571 infinitely.

Explanation

To convert 3 3/7 to a decimal, we separate the whole number from the fractional part. The fraction 3/7 is what we need to convert to a decimal. Let's use long division to find the decimal equivalent of 3/7.

Step 1: Identify the numerator and denominator because the numerator (3) is the dividend and the denominator (7) is the divisor.

Step 2: As 3 is smaller than 7, it cannot be divided without a remainder, so we use decimals. Add a decimal point in the quotient and consider 3.000000 for division.

Step 3: Divide 30 by 7, which gives 4 in the quotient, with a remainder of 2.

Step 4: Bring down the next 0, making it 20. Divide 20 by 7, which gives 2, with a remainder of 6.

Step 5: Repeat the process. Bring down another 0 to make 60, divide by 7 to get 8, with a remainder of 4.

Step 6: Continue this division process. The repeating cycle "428571" emerges, indicating a recurring decimal.

The result for 3/7 as a decimal is 0.428571, so 3 3/7 as a decimal is 3.428571...

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.