Fractions are typically represented as a ratio of two integers, while decimals are expressed in base-ten notation, where the decimal point separates the whole part from the fractional part. Understanding their relationship and how to convert between them is crucial for various mathematical operations, such as addition, subtraction, multiplication, and division.
Answer: 4/7 as a decimal is approximately 0.5714.
To convert a fraction like 4/7 into a decimal, you can perform the division operation:
4/7 = 0.5714 (rounded to four decimal places)
To calculate this decimal, divide the numerator (4) by the denominator (7). The result is a repeating decimal that can be approximated to a finite number of decimal places. In this case, we’ve rounded it to four decimal places for simplicity.
So, 4/7 as a decimal is approximately 0.5714.
This decimal representation allows for easier numerical calculations and comparisons, making it a useful format when dealing with fractions in various mathematical and real-world contexts.
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