Write each mixed number as an improper fraction. 2(3/5)
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Identify the whole number and the fraction in the mixed number: 2 and .
Convert the whole number to a fraction with the same denominator as the fractional part: .
Add the fractions: .
Combine the numerators over the common denominator: .
Simplify the expression to get the improper fraction.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mixed Numbers
A mixed number is a combination of a whole number and a proper fraction. For example, in the mixed number 2(3/5), '2' is the whole number and '3/5' is the fraction. Mixed numbers are often used to represent quantities that are not whole, making them useful in various mathematical contexts.
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For instance, the fraction 11/5 is improper because 11 is greater than 5. Converting mixed numbers to improper fractions is essential for performing operations like addition or subtraction with fractions.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. The result becomes the new numerator, while the denominator remains the same. For example, for 2(3/5), the conversion would be (2 * 5 + 3)/5 = 13/5.