Запишите все дроби со знаменателем 19 которые больше 7/9 но меньше 8/9 ПЖ ПОДРОБНО

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Дан 1 ответ

BoevoyHomachok_zn · Answer 1 · 2021-10-15T21:31:35+0000

Решение:

По ходу так вот:

$\frac{7}{9}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B19%7D" id="TexFormula2" title="\frac{x}{19}" alt="\frac{x}{19}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D" id="TexFormula3" title="\frac{8}{9}" alt="\frac{8}{9}" align="absmiddle" class="latex-formula">

Находим общий знаменатель:

$\frac{133}{171}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B171%7D" id="TexFormula5" title="\frac{9x}{171}" alt="\frac{9x}{171}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B152%7D%7B171%7D" id="TexFormula6" title="\frac{152}{171}" alt="\frac{152}{171}" align="absmiddle" class="latex-formula">

И тут методом подбора:

$\frac{133}{171}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%2A15%7D%7B171%7D" id="TexFormula8" title="\frac{9*15}{171}" alt="\frac{9*15}{171}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B9%2A16%7D%7B171%7D" id="TexFormula9" title="\frac{9*16}{171}" alt="\frac{9*16}{171}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B152%7D%7B171%7D" id="TexFormula10" title="\frac{152}{171}" alt="\frac{152}{171}" align="absmiddle" class="latex-formula">

$\frac{7}{9}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B19%7D" id="TexFormula12" title="\frac{15}{19}" alt="\frac{15}{19}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B19%7D" id="TexFormula13" title="\frac{16}{19}" alt="\frac{16}{19}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D" id="TexFormula14" title="\frac{8}{9}" alt="\frac{8}{9}" align="absmiddle" class="latex-formula">

Ответ:

$\frac{15}{19}$ ; $\frac{16}{19}$

Но если все таки знаменатель 18, то:

$\frac{7}{9}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18%7D" id="TexFormula18" title="\frac{x}{18}" alt="\frac{x}{18}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B9%7D" id="TexFormula19" title="\frac{8}{9}" alt="\frac{8}{9}" align="absmiddle" class="latex-formula">

Проще найти общий знаменатель:

$\frac{14}{18}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18%7D" id="TexFormula21" title="\frac{x}{18}" alt="\frac{x}{18}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B18%7D" id="TexFormula22" title="\frac{16}{18}" alt="\frac{16}{18}" align="absmiddle" class="latex-formula">

$\frac{14}{18}$ <<img src="https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B18%7D" id="TexFormula24" title="\frac{15}{18}" alt="\frac{15}{18}" align="absmiddle" class="latex-formula"><<img src="https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B18%7D" id="TexFormula25" title="\frac{16}{18}" alt="\frac{16}{18}" align="absmiddle" class="latex-formula">

Ответ:

$\frac{15}{18}$