1 1/8 - 1/2: Understanding Fraction Conversions
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Fractions can be confusing, especially when dealing with different denominators. In this article, we will explore the conversion of 1 1/8 to 1/2, and delve into the world of fractions.
What is 1 1/8?
1 1/8 is a mixed fraction, which consists of a whole number part (1) and a fractional part (1/8). It can be written in decimal form as 1.125.
What is 1/2?
1/2, on the other hand, is a simple fraction with a numerator of 1 and a denominator of 2. It can be written in decimal form as 0.5.
Converting 1 1/8 to 1/2
To convert 1 1/8 to 1/2, we need to find the equivalent fraction with a denominator of 2. We can do this by multiplying the numerator and denominator of 1 1/8 by 2, which gives us:
(1 * 2) + (1/8 * 2) = 2 1/4
However, this is not equal to 1/2. To find the equivalent fraction, we need to convert 1 1/8 to a fraction with a denominator of 2. We can do this by multiplying the numerator and denominator by 16, which gives us:
(1 * 16) + (1/8 * 16) = 16 2/16
Simplifying this fraction, we get:
16 1/8 = 17/16
This is the equivalent fraction of 1 1/8 with a denominator of 2. However, it is not equal to 1/2.
Conclusion
In conclusion, 1 1/8 and 1/2 are not equal. While they can be converted to equivalent fractions with different denominators, they are distinct fractions with different values. Understanding fraction conversions is essential in mathematics, and this article has demonstrated the process of converting 1 1/8 to an equivalent fraction with a denominator of 2.
