Question

(3/8+2 1/7*1 1/20)*1 1/3 вычислить одним действием

Answer 1

$( \frac{3}{8} + \frac{15}{7} \frac{11}{20} ) \frac{4}{3} = ( \frac{3}{8} + \frac{33}{28} ) \frac{4}{3} = \frac{3 \times 28 + 33 \times 8}{8 \times 28} \frac{4}{3} = \frac{84 + 264}{56} \frac{1}{3} = \frac{348}{56 \times 3} = \frac{348}{168}$

Answer 2

To simplify the given expression, we can perform the multiplication and addition in a single step. To do this, we need to convert the mixed numbers into improper fractions and then perform the operations.

Let's first convert the mixed numbers to improper fractions:

3/8 = (3 * 1 + 8) / 8 = 11 / 8 2 1/7 = (2 * 7 + 1) / 7 = 15 / 7 1 1/20 = (1 * 20 + 1) / 20 = 21 / 20 1 1/3 = (1 * 3 + 1) / 3 = 4 / 3

Now, the expression becomes:

(11/8 + 15/7 * 21/20) * 4/3

Next, let's perform the multiplication first:

15/7 * 21/20 = (15 * 21) / (7 * 20) = 315 / 140 = 9/4

Now, the expression becomes:

(11/8 + 9/4) * 4/3

Next, let's find a common denominator for the fractions in the parentheses, which is 8:

11/8 + 9/4 = (11 * 1) / 8 + (9 * 2) / 8 = 11/8 + 18/8 = 29/8

Finally, the expression becomes:

(29/8) * 4/3

Now, perform the multiplication:

(29/8) * (4/3) = (29 * 4) / (8 * 3) = 116 / 24 = 29/6

So, the simplified result of the given expression is 29/6.