Which improper fraction is equivalent to 5 3/4? 1: 23/3 2: 46/8 3: 34/8 4: 46/4
To convert a mixed number (such as 5 3/4) to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Then put the result over the original denominator.
For 5 3/4:
5 * 4 = 20
20 + 3 = 23
So 5 3/4 is equivalent to the improper fraction 23/4.
Therefore, the correct answer is 1: 23/4.
To find the improper fraction that is equivalent to 5 3/4, follow these steps:
Step 1: Multiply the whole number by the denominator of the fraction and add the numerator.
5 * 4 = 20
Step 2: Write the result from step 1 as the numerator of the improper fraction.
Numerator = 20
Step 3: The denominator of the improper fraction remains the same.
Denominator = 4
So, the improper fraction equivalent to 5 3/4 is 20/4.
None of the answer options listed matches 20/4.
To find the improper fraction that is equivalent to 5 3/4, you need to convert the mixed number (5 3/4) into an improper fraction.
One way to do this is by multiplying the whole number (5) by the denominator of the fraction (4), and then adding the numerator (3). This sum becomes the new numerator, while the denominator remains the same.
So, 5 multiplied by 4 is 20, and adding 3 gives us 23 as the new numerator. The denominator remains 4.
Therefore, the improper fraction equivalent to 5 3/4 is 23/4.
Looking at the options provided:
1: 23/3 - This is not the correct answer since the denominator in the options should be 4, not 3.
2: 46/8 - This is not the correct answer since the numerator should be 23, not 46.
3: 34/8 - This is not the correct answer since the numerator should be 23, not 34.
4: 46/4 - This is not the correct answer since the numerator should be 23, not 46.
The correct answer is 23/4, which is not one of the given options.