7/35 as a decimal

Answer

7/35 as a decimal is 0.2. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 7/35 into a decimal, use the division method. Since 7 is smaller than 35, we apply the decimal method to get 0.2. Here’s a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (7) will be the dividend, and the denominator (35) will be the divisor.

Step 2: As 7 is smaller than 35, it can't be divided directly. We'll use decimals by adding 0 to the dividend, making it 70, and placing a decimal point in the quotient.

Step 3: Now that it is 70, divide it by 35. Determine how many times 35 fits into 70.

Step 4: 70 is exactly 2 times 35. Therefore, place 2 in the quotient, and subtract 70 from 70, which gives a remainder of 0.

Step 5: Since the remainder is 0, the division process stops here.

The answer for 7/35 as a decimal is 0.2.

• Fraction: A numerical expression representing a part of a whole, comprised of a numerator and a denominator.

• Decimal: A base-ten number that includes a decimal point to distinguish between the whole number part and the fractional part.

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

• Denominator: The bottom portion of a fraction, showing the total number of equal parts that make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.