Question

4 3/4 : 1/4 - 1 5/6 * 3

Answer 1

Правильный ответ:13 1/2

Answer 2

Let's break down the expression step by step:

1. $4 \frac{3}{4}$: This is a mixed number, which is equivalent to the improper fraction $\frac{19}{4}$.

2. $\frac{19}{4} : \frac{1}{4}$: When you divide by a fraction, you can multiply by its reciprocal. So, $\frac{19}{4} \div \frac{1}{4}$ is the same as $\frac{19}{4} \times \frac{4}{1}$, which simplifies to 19.

3. $1 \frac{5}{6}$: This is a mixed number, which is equivalent to the improper fraction $\frac{11}{6}$.

4. $\frac{11}{6} \times 3$: Multiply the fraction by 3: $\frac{11}{6} \times 3 = \frac{33}{6}$.

Now, combine the results:

$19 - \frac{33}{6}$

To subtract fractions, they need a common denominator. The common denominator for 6 and 1 is 6. Rewrite 19 as a fraction with a denominator of 6:

$\frac{19}{1} - \frac{33}{6}$

Now, find a common denominator, which is 6:

$\frac{19 \times 6}{1 \times 6} - \frac{33}{6}$

$\frac{114}{6} - \frac{33}{6}$

Subtract the numerators:

$\frac{114 - 33}{6}$

$\frac{81}{6}$

Simplify the fraction:

$\frac{27}{2}$

So, the result is $\frac{27}{2}$ or $13 \frac{1}{2}$.