Question

entering fractions, reduced fractions, and mixed numbers
this question asks for a fraction, a reduced fraction, and a mixed number.
enter fractions like 2/3 for $\frac{2}{3}$. for this type, the fraction does not need to be reduced, so $\frac{2}{4}$ is considered the same as $\frac{1}{2}$.
for a reduced fraction answer, be sure to reduce your fraction to lowest terms. if $\frac{1}{2}$ is the correct answer, $\frac{2}{4}$ is not reduced, and would be marked wrong.
for both fraction and reduced fraction type problems, improper fractions are ok, like $\frac{10}{3}$, but mixed numbers will not be accepted.
for a mixed number problem, enter your answer like 5 1/3 for $5\frac{1}{3}$. improper fractions will not be accepted. also, be sure to reduce the fractional portion of the mixed number to lowest terms.
try it here. use the preview button to see how the computer is interpreting what you typed.
a) enter $\frac{14}{42}$: (does not have to be reduced to lowest terms)
b) enter $\frac{10}{30}$ in reduced form: (must be reduced to lowest terms)
c) enter $14 + \frac{29}{30}$: as a mixed number. (make sure you reduce, if necessary.)
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Explanation:

Step1: Use given fraction directly

The question allows non-reduced fractions, so we can use $\frac{14}{42}$ directly, or any equivalent form like $\frac{1}{3}$.

Step2: Reduce fraction to lowest terms

Find GCD of 10 and 30, which is 10. Divide numerator and denominator by 10:
$\frac{10\div10}{30\div10}=\frac{1}{3}$

Step3: Combine into mixed number

The whole number is 14, and $\frac{29}{30}$ is already in lowest terms (GCD of 29 and 30 is 1). Combine them into the required mixed number format.

Answer:

A) $\frac{14}{42}$ (or $\frac{1}{3}$ is also acceptable)
B) $\frac{1}{3}$
C) $14\frac{29}{30}$