Question

А) (1 3\4-2 3\8):1 3\5= б) (1 7\15+3 1\3)*5\12=

Answer 1

А) (1_3/4-2_3/8):1_3/5=(7/4-19/8):8/5=(14-19)/8*5/8=- 5/8*5/8=-25/64

б) (1_7/15+3_1/3)*5/12=(22/15+10/3)*5/12=(22+50/15)*5/12=72/15*5/12=6/3=2

Answer 2

a)

To simplify the expression (1 3/4 - 2 3/8) : 1 3/5, we need to first convert all mixed numbers to improper fractions:

1 3/4 = (41 + 3)/4 = 7/4 2 3/8 = (82 + 3)/8 = 19/8 1 3/5 = (5*1 + 3)/5 = 8/5

Now we can substitute these values into the expression:

(7/4 - 19/8) : 8/5

Next, we need to invert the second fraction and multiply:

(7/4 - 19/8) * 5/8

To simplify the expression, we can find a common denominator of 8:

(14/8 - 19/8) * 5/8

-5/8 * 5/8 = -25/64

Therefore, (1 3/4 - 2 3/8) : 1 3/5 = -25/64.

b)

To simplify the expression (1 7/15 + 3 1/3) * 5/12, we again convert all mixed numbers to improper fractions:

1 7/15 = (151 + 7)/15 = 22/15 3 1/3 = (33 + 1)/3 = 10/3

Now we can substitute these values into the expression:

(22/15 + 10/3) * 5/12

To simplify the expression, we can first find a common denominator of 15:

(22/15 + 50/15) * 5/12

72/15 * 5/12 = 3 * 4 * 5 / 3 * 5 * 4 = 1

Therefore, (1 7/15 + 3 1/3) * 5/12 = 1.