30/7 as a Decimal

Answer

30/7 in decimals can be written as 4.285714. This is a repeating decimal, indicating that the sequence of digits repeats infinitely.

Explanation

To convert 30/7 to a decimal, we use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (30) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 30 by 7. The whole number part of the quotient is 4, as 7 goes into 30 four times.

Step 3: Subtract 28 (4 × 7) from 30, which gives a remainder of 2.

Step 4: Bring down a 0 to make it 20, and see how many times 7 goes into 20. It goes 2 times, as 7 × 2 = 14. Write 2 in the quotient place.

Step 5: Subtract 14 from 20 to get 6. Bring down another 0 to make 60. 7 goes into 60 eight times (7 × 8 = 56).

Step 6: Subtract 56 from 60 to get 4. Bring down another 0 to make 40. 7 goes into 40 five times (7 × 5 = 35).

Step 7: Subtract 35 from 40 to get 5. Bring down another 0 to make 50. 7 goes into 50 seven times (7 × 7 = 49).

Step 8: Subtract 49 from 50 to get 1. Bring down another 0 to make 10. 7 goes into 10 one time (7 × 1 = 7).

Step 9: Subtract 7 from 10 to get 3. Bring down another 0 to make 30, and the cycle repeats. This process is called a repeating decimal.

The answer for 30/7 as a decimal is 4.285714...

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