What is the equivalent of 1 and 2/3 in an improper fraction?

What is the equivalent of 1 and 2/3 in an improper fraction?

• A. 5/3
• B. 4/3
• C. 3/2
• D. 8/3

Answer: (A)

To convert a mixed number, such as 1 and 2/3, into an improper fraction, we follow a specific method. The mixed number consists of a whole number part (1) and a fractional part (2/3). First, we convert the whole number into a fraction that has the same denominator as the fractional part. Since the fractional part is 2/3, we can express the whole number 1 as 3/3. This is because any whole number can be represented as a fraction by putting it over 1 and then finding an equivalent fraction with the desired denominator. Now we sum the two fractions: - The whole number 1 is represented as 3/3. - The fractional part is 2/3. Next, we add these fractions: 3/3 + 2/3 = (3 + 2)/3 = 5/3. This results in the improper fraction 5/3. An improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator, which is the case here, as 5 is greater than 3. Therefore, the equivalent of 1 and 2/3 in an improper fraction is indeed 5/3.

To convert a mixed number, such as 1 and 2/3, into an improper fraction, we follow a specific method. The mixed number consists of a whole number part (1) and a fractional part (2/3).

First, we convert the whole number into a fraction that has the same denominator as the fractional part. Since the fractional part is 2/3, we can express the whole number 1 as 3/3. This is because any whole number can be represented as a fraction by putting it over 1 and then finding an equivalent fraction with the desired denominator.

Now we sum the two fractions:

• The whole number 1 is represented as 3/3.

• The fractional part is 2/3.

Next, we add these fractions:

3/3 + 2/3 = (3 + 2)/3 = 5/3.

This results in the improper fraction 5/3. An improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator, which is the case here, as 5 is greater than 3.

Therefore, the equivalent of 1 and 2/3 in an improper fraction is indeed 5/3.