Answer:
13/4 = 3 1/4
Step-by-step explanation:
You can convert each improper fraction to a mixed number, or vice versa to answer this.
I started by looking at the fractions with 4 in the denominator, since there are two mixed numbers with 4 in the denominator. Below we show the conversions of all of the mixed numbers.
To convert a mixed number to an improper fraction, multiply the integer by the denominator and add the numerator. Express the total over the denominator:
[tex]k+\dfrac{n}{d}=\dfrac{kd+n}{d}[/tex]
So, you have ...
- 1 3/4 = (4+3)/4 = 7/4
- 5 1/6 = (5·6 +1)/6 = 31/6
- 3 2/5 = (3·5 +2)/6 = 17/5
- 3 1/4 = (3·4 +1)/4 = 13/4 . . . . matches the first improper fraction
The appropriate choice is ...
13/4 = 3 1/4
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You can also convert the improper fractions to mixed numbers. Divide the numerator by the denominator. The result is an integer and a remainder. The remainder is expressed over the divisor as a fraction:
- 13/4 = 3 remainder 1 = 3 1/4 . . . . matches the last mixed number
- 16/5 = 3 remainder 1 = 3 1/5
- 31/4 = 7 remainder 3 = 7 3/4
- 17/6 = 2 remainder 5 = 2 5/6
