№35. а=(5/6)*36=30 , b=(8/9)*72=64
(b-a):b=(64-30):64=34:64=17/32=0,53125
№37. 4/5 от 16 = (4/5)*16=64/5=12,8
![A=3\frac{1}{3}:1\frac{2}{3}=\frac{10}{3}:\frac{5}{3}=\frac{10}{5}=2 A=3\frac{1}{3}:1\frac{2}{3}=\frac{10}{3}:\frac{5}{3}=\frac{10}{5}=2](https://tex.z-dn.net/?f=A%3D3%5Cfrac%7B1%7D%7B3%7D%3A1%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B10%7D%7B3%7D%3A%5Cfrac%7B5%7D%7B3%7D%3D%5Cfrac%7B10%7D%7B5%7D%3D2)
![B=\frac{3}{4}A+1\frac{5}{6}=\frac{3\cdot 2}{4}+\frac{11}{6}=\frac{20}{6}=3\frac{1}{3} B=\frac{3}{4}A+1\frac{5}{6}=\frac{3\cdot 2}{4}+\frac{11}{6}=\frac{20}{6}=3\frac{1}{3}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B3%7D%7B4%7DA%2B1%5Cfrac%7B5%7D%7B6%7D%3D%5Cfrac%7B3%5Ccdot+2%7D%7B4%7D%2B%5Cfrac%7B11%7D%7B6%7D%3D%5Cfrac%7B20%7D%7B6%7D%3D3%5Cfrac%7B1%7D%7B3%7D)
![A+B=2+\frac{10}{3}=\frac{16}{3}\\\\\frac{64}{5}-(A+B)=\frac{64}{5}-\frac{16}{3}=\frac{64\cdot 3-16\cdot 5}{15}=\frac{112}{15}=7\frac{7}{15}\\\\(A+B)<\frac{64}{5}\; \; na\; \; 7\frac{7}{15} A+B=2+\frac{10}{3}=\frac{16}{3}\\\\\frac{64}{5}-(A+B)=\frac{64}{5}-\frac{16}{3}=\frac{64\cdot 3-16\cdot 5}{15}=\frac{112}{15}=7\frac{7}{15}\\\\(A+B)<\frac{64}{5}\; \; na\; \; 7\frac{7}{15}](https://tex.z-dn.net/?f=A%2BB%3D2%2B%5Cfrac%7B10%7D%7B3%7D%3D%5Cfrac%7B16%7D%7B3%7D%5C%5C%5C%5C%5Cfrac%7B64%7D%7B5%7D-%28A%2BB%29%3D%5Cfrac%7B64%7D%7B5%7D-%5Cfrac%7B16%7D%7B3%7D%3D%5Cfrac%7B64%5Ccdot+3-16%5Ccdot+5%7D%7B15%7D%3D%5Cfrac%7B112%7D%7B15%7D%3D7%5Cfrac%7B7%7D%7B15%7D%5C%5C%5C%5C%28A%2BB%29%3C%5Cfrac%7B64%7D%7B5%7D%5C%3B+%5C%3B+na%5C%3B+%5C%3B+7%5Cfrac%7B7%7D%7B15%7D)
№38. 1) х - число, от которого надо найти 2/3 его части.
Тогда составим уравнение.
![\frac{1}{5}x+\frac{1}{6}x=22\; ,\; \; \frac{11x}{30}=22\; ,\; \; x=60\\\\\frac{2}{3}x=\frac{2}{3}\cdot 60=40 \frac{1}{5}x+\frac{1}{6}x=22\; ,\; \; \frac{11x}{30}=22\; ,\; \; x=60\\\\\frac{2}{3}x=\frac{2}{3}\cdot 60=40](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B5%7Dx%2B%5Cfrac%7B1%7D%7B6%7Dx%3D22%5C%3B+%2C%5C%3B+%5C%3B+%5Cfrac%7B11x%7D%7B30%7D%3D22%5C%3B+%2C%5C%3B+%5C%3B+x%3D60%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7Dx%3D%5Cfrac%7B2%7D%7B3%7D%5Ccdot+60%3D40+)
2) х - число, от которого надо найти 5/6 его части. Составим уравнение.
![\frac{2}{3}x-\frac{1}{4}x =15\; ,\; \; \frac{5x}{12}=15\; ,\; \; x=36\\\\ \frac{5}{6}\cdot 36=30 \frac{2}{3}x-\frac{1}{4}x =15\; ,\; \; \frac{5x}{12}=15\; ,\; \; x=36\\\\ \frac{5}{6}\cdot 36=30](https://tex.z-dn.net/?f=+%5Cfrac%7B2%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B4%7Dx+%3D15%5C%3B+%2C%5C%3B+%5C%3B+%5Cfrac%7B5x%7D%7B12%7D%3D15%5C%3B+%2C%5C%3B+%5C%3B+x%3D36%5C%5C%5C%5C+%5Cfrac%7B5%7D%7B6%7D%5Ccdot+36%3D30++)