What is 7 1/5 as a decimal?
The correct answer and explanation is:
Correct Answer:
7 1/5 as a decimal is 7.2
Explanation (Approximately 300 Words):
To convert a mixed number like 7 1/5 into a decimal, we follow a simple step-by-step method. A mixed number consists of a whole number and a fraction. In this case:
- The whole number is 7
- The fraction is 1/5
Step 1: Convert the Fraction to a Decimal
We begin by converting the fraction part, 1/5, into decimal form. You do this by dividing the numerator (1) by the denominator (5): 1÷5=0.21 \div 5 = 0.2
So, 1/5 = 0.2
Step 2: Add the Decimal to the Whole Number
Now take the whole number (7) and add it to the decimal equivalent of the fraction (0.2): 7+0.2=7.27 + 0.2 = 7.2
So, 7 1/5 = 7.2
Why This Works
Fractions and decimals are two different ways to represent parts of a whole. The decimal system is based on powers of ten, and many simple fractions can be represented exactly as decimals. The fraction 1/5 is a common one that terminates (does not repeat), making it easy to express as a decimal.
When you combine a whole number with a decimal, you are simply stating: “this many wholes and a part of one more.” So 7.2 means 7 wholes and 2 tenths, which matches the meaning of 7 and 1/5.
This concept is useful in everyday life for calculations involving money, measurements, and data, where decimal format is more commonly used than fractions. Understanding how to convert between these forms helps in simplifying math operations, especially when using calculators or spreadsheets.