Question

Решите примеры:
1) 2  1/3 : 21 + 1  1/2 * 2/3

2) 6/4 * 1/3 + 1  3/5 : ( 7/8 + 6/17)

Answer 1

1) 7/3:21+3/2*2/3=7/3*1/21+1=1 1/9

2) 1/2+8/5:(167/136)=1/2+1088/835=3011/1670=1 1341/1670

Answer 2

1) $2frac{1}{3}:21+1frac{1}{2}cdotfrac{2}{3}=1frac{1}{9}$

 

1) $2frac{1}{3}:21=frac{7}{3}:21=frac{7}{3}cdotfrac{1}{21}=frac{1}{9}$

 

2) $1frac{1}{2}cdotfrac{2}{3}=frac{3}{2}cdotfrac{2}{3}=1$

 

3) $frac{1}{9}+1=frac{1+9}{9}=frac{10}{9}=1frac{1}{9}$

2) $frac{6}{4}cdotfrac{1}{3}+1frac{3}{5}:(frac{7}{8}+frac{6}{17})=1frac{1341}{1670}$

 

1) $frac{7}{8}+frac{6}{17}=frac{119+48}{136}=frac{167}{136}=1frac{31}{136}$

 

2) $frac{6}{4}cdotfrac{1}{3}=frac{1}{2}$

 

3) $1frac{3}{5}:1frac{31}{136}=frac{8}{5}:frac{167}{136}=frac{8}{5}cdotfrac{136}{167}=frac{1088}{835}=1frac{253}{167}$

 

4) $frac{1}{2}+1frac{253}{167}=frac{1}{2}+frac{1088}{835}=frac{835+2176}{1670}=frac{3011}{1670}=1frac{1341}{1670}$