4.76 Вычислите. а) $$2\frac{7}{4}$$ + $$1\frac{1}{2}$$ $$-$$\frac{5}{8}$$ $$\frac{3}{?}$$ б) $$14\frac{1}{7}$$ $$-1$$ $$\frac{3}{5}$$ $$\frac{2}{3}$$ в) $$6\frac{2}{11}$$ + $$1\frac{1}{6}$$ + $$\frac{1}{2}$$ г) 6 : 12 - 1,6 - 0,35 + 0,15 : 4 ?

a) $$2\frac{7}{4}$$ + $$1\frac{1}{2}$$ - $$\frac{5}{8}$$ = ?

$$2\frac{7}{4}$$ = $$2\frac{14}{8}$$; $$1\frac{1}{2}$$ = $$1\frac{4}{8}$$.

$$2\frac{14}{8}$$ + $$1\frac{4}{8}$$ = $$3\frac{18}{8}$$.

$$3\frac{18}{8}$$ - $$\frac{5}{8}$$ = $$3\frac{13}{8}$$ = $$4\frac{5}{8}$$.

   4 5
   --- 
   8

б) $$14\frac{1}{7}$$ - 1 - $$\frac{3}{5}$$+ $$\frac{2}{3}$$ = ?

$$14\frac{1}{7}$$ - 1 = $$13\frac{1}{7}$$ = $$13\frac{15}{105}$$.

$$\frac{3}{5}$$ = $$\frac{63}{105}$$.

$$\frac{2}{3}$$ = $$\frac{70}{105}$$.

$$13\frac{15}{105}$$ - $$\frac{63}{105}$$+ $$\frac{70}{105}$$ = $$13\frac{22}{105}$$.

 13 22
 -----
 105

в) $$6\frac{2}{11}$$ + $$1\frac{1}{6}$$ + $$\frac{1}{2}$$ = ?

$$6\frac{2}{11}$$ = $$6\frac{12}{66}$$.

$$1\frac{1}{6}$$ = $$1\frac{11}{66}$$.

$$\frac{1}{2}$$ = $$\frac{33}{66}$$.

$$6\frac{12}{66}$$ + $$1\frac{11}{66}$$ + $$\frac{33}{66}$$ = $$7\frac{23}{66}$$ + $$\frac{33}{66}$$ = $$7\frac{56}{66}$$ = $$7\frac{28}{33}$$.

 7 28
 ---
 33

г) 6 : 12 - 1,6 - 0,35 + 0,15 : 4 = ?

6 : 12 = 0,5

0,5 - 1,6 = -1,1

-1,1 - 0,35 = -1,45

-1,45 + 0,15 = -1,30 = -1,3

  -1,3

Ответ: а) $$4\frac{5}{8}$$; б) $$13\frac{22}{105}$$; в) $$7\frac{28}{33}$$; г) -1,3