15/7 as a Decimal

Answer

15/7 in decimals can be written as approximately 2.142857. It is a repeating decimal, showing a sequence that will repeat infinitely.

Explanation

To get 15/7 in decimal, we will use the division method. Here as 15 is greater than 7, division can proceed directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 15 by 7. The whole number 7 goes into 15 two times, so we write 2 in the quotient place.

Step 3: Multiply 2 by 7 to get 14, and subtract 14 from 15 to get a remainder of 1.

Step 4: Bring down a 0 to the remainder to make it 10, and then divide by 7.

Step 5: 7 goes into 10 one time, write 1 in the quotient after the decimal point, multiply 1 by 7 to get 7, and subtract from 10 to get 3.

Step 6: Bring down another 0 to make it 30, and divide by 7. Repeat the process to find the repeating sequence. The process continues as a repeating decimal with the sequence 142857.

The answer for 15/7 as a decimal will be approximately 2.142857...

• 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.