Fraction Conversion: 1/2 to 3/8
In this article, we will explore the conversion of the fraction 1/2 to 3/8. We will also discuss the steps involved in converting fractions and the importance of equivalent fractions.
What are Equivalent Fractions?
Equivalent fractions are fractions that have the same value but are expressed in different ways. For example, 1/2 and 2/4 are equivalent fractions because they represent the same proportion of a whole. Equivalent fractions can be obtained by multiplying or dividing both the numerator and the denominator of a fraction by the same non-zero integer.
Converting 1/2 to 3/8
To convert 1/2 to an equivalent fraction with a denominator of 8, we need to multiply both the numerator and the denominator by 3.
Step 1: Multiply the numerator (1) by 3: 1 × 3 = 3 Step 2: Multiply the denominator (2) by 3: 2 × 3 = 6 Step 3: Write the new fraction: 3/6
However, we are asked to convert 1/2 to 3/8. To do this, we need to simplify the fraction 3/6.
Step 4: Divide both the numerator (3) and the denominator (6) by their greatest common divisor (GCD), which is 3. Step 5: Write the new fraction: 3/8
Conclusion
In conclusion, the equivalent fraction of 1/2 with a denominator of 8 is 3/8. We achieved this by multiplying the numerator and denominator of 1/2 by 3 and then simplifying the resulting fraction.
Remember, equivalent fractions are essential in mathematics as they enable us to express the same value in different ways, making it easier to perform arithmetic operations and solve problems.
