15/7 as a decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top) here, 15 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 7. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 15/7 as a decimal?

$15/7 as a decimal$

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...