Question

1)    5 целых 3_4* 3целых 5_7+3 целых 5_7*1 целую 1_4=...     (2)   8 целых 3_5*6 целых  1_7-1 целая 1_7* 8 целых 3_5=...   (3)    15 целых 3_8*4 целых 1_6-4 целых 1_6*15 целых 3_8=...    (4)  10 целых 5_11*4 целых 1_3+10 целых 5_11* 6 целых 2_3=...     (5)   (6 целых +1 целая 1_3*2 целых)*30 целых

Answer 1

1)    5 целых 3_4* 3целых 5_7+3 целых 5_7*1 целую 1_4=3 5/7(23/4+5/4)=26/7*28/4=26
(2)   8 целых 3_5*6 целых  1_7-1 целая 1_7* 8 целых 3_5=43/5(43/4-8/7)=43/5*35/7=43
(3)    15 целых 3_8*4 целых 1_6-4 целых 1_6*15 целых 3_8=0
(4)  10 целых 5_11*4 целых 1_3+10 целых 5_11* 6 целых 2_3=10 5/11(13/3+20/3)=115/11*33/3=115
(5)   (6 целых +1 целая 1_3*2 целых)*30 целых=(6+4/3*2)*30=(6+8/3)*30=180+80=260

Answer 2

(1) To simplify the expression:

5 целых 3_4 * 3 целых 5_7 + 3 целых 5_7 * 1 целая 1_4

First, let's convert the mixed numbers to improper fractions:

5 целых 3_4 = 5 + 3/4 = 20/4 + 3/4 = 23/4 3 целых 5_7 = 3 + 5/7 = 21/7 + 5/7 = 26/7 1 целая 1_4 = 1 + 1/4 = 4/4 + 1/4 = 5/4

Now we can rewrite the expression:

(23/4) * (26/7) + (26/7) * (5/4)

To simplify this, we multiply the fractions:

(23/4) * (26/7) = (23 * 26) / (4 * 7) = 598 / 28

(26/7) * (5/4) = (26 * 5) / (7 * 4) = 130 / 28

Adding the two results together:

(598 / 28) + (130 / 28) = 728 / 28

This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 4:

728 / 28 = (728 / 4) / (28 / 4) = 182 / 7

So the simplified result is:

1. 182 / 7.

(2) To simplify the expression:

8 целых 3_5 * 6 целых 1_7 - 1 целая 1_7 * 8 целых 3_5

Convert the mixed numbers to improper fractions:

8 целых 3_5 = 8 + 3/5 = 40/5 + 3/5 = 43/5 6 целых 1_7 = 6 + 1/7 = 42/7 + 1/7 = 43/7 1 целая 1_7 = 1 + 1/7 = 7/7 + 1/7 = 8/7 8 целых 3_5 = 8 + 3/5 = 40/5 + 3/5 = 43/5

Rewriting the expression:

(43/5) * (43/7) - (8/7) * (43/5)

Multiply the fractions:

(43/5) * (43/7) = (43 * 43) / (5 * 7) = 1849 / 35

(8/7) * (43/5) = (8 * 43) / (7 * 5) = 344 / 35

Subtracting the two results:

(1849 / 35) - (344 / 35) = 1505 / 35

Simplify the fraction:

1505 / 35 = (1505 / 5) / (35 / 5) = 301 / 7

So the simplified result is:

2. 301 / 7.

(3) To simplify the expression:

15 целых 3_8 * 4 целых 1_6 - 4 целых 1_6 * 15 целых 3_8

Convert the mixed numbers to improper fractions:

15 целых 3_8 = 15 +