Which improper fraction is equivalent to 5 3/4?(1 point)
Responses
34/8
46/8
23/3
46/4
To convert the mixed number 5 3/4 into an improper fraction, you need to multiply the whole number (5) by the denominator of the fraction (4) and add the numerator (3). Then, put this sum over the denominator (4).
5 3/4 is equivalent to 23/4.
Therefore, the correct answer is 23/4.
To find an improper fraction equivalent to 5 3/4, you can first convert the whole number part to fractions by multiplying it by the denominator.
5 x 4 = 20
So, 5 as a fraction is 20/4.
Now, add the fraction part to the new fraction:
20/4 + 3/4 = 23/4.
So, the improper fraction equivalent to 5 3/4 is 23/4.
To find the improper fraction that is equivalent to 5 3/4, you need to convert the whole number and the fraction into a single fraction.
First, multiply the whole number (5) by the denominator of the fraction (4): 5 x 4 = 20.
Next, add the product to the numerator of the fraction (3): 20 + 3 = 23.
So, the converted fraction is 23/4.
Out of the given options:
- 34/8 is an improper fraction, but it is not equivalent to 5 3/4.
- 46/8 is an improper fraction, but it is also not equivalent to 5 3/4.
- 23/3 is not an improper fraction, and it is not equivalent to 5 3/4.
- 46/4 is an improper fraction, and it is equivalent to 5 3/4.
Therefore, the correct answer is 46/4.