7 3/15 as a Decimal

Answer

7 3/15 in decimals can be written as 7.2. It is a terminating decimal, meaning it does not continue infinitely.

Explanation

To convert 7 3/15 into a decimal, we first convert the fraction 3/15 into decimal form and then add it to the whole number 7. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (7) and the fraction (3/15).

Step 2: Simplify the fraction 3/15. The greatest common divisor of 3 and 15 is 3.

Step 3: Divide both numerator and denominator by their greatest common divisor: 3 ÷ 3 = 1 and 15 ÷ 3 = 5, so 3/15 simplifies to 1/5.

Step 4: Convert the simplified fraction 1/5 to a decimal by dividing 1 by 5, which equals 0.2.

Step 5: Add the decimal 0.2 to the whole number 7, resulting in 7.2.

The answer for 7 3/15 as a decimal is 7.2.

• Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.

• Decimal: A number expressed in the base ten system, using 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.

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