Предмет: Математика, автор: Iulicka88

Помогите пожалуйста решите срочно.
3,11(37).
5,(112).

Iulicka88: Если не знаете не пишите

Ответы

Автор ответа: prettypushkova

3,11(37) = 3 + 0,11(37) = 3 целых 563/4950

Пусть х = 0,11(37), тогда

100х = 11,(37)

10000х = 1137,(37)

Уравнение: 10000х - 100х = 1137,(37) - 11,(37)

9900х = 1126

х = 1126/9900

х = 563/4950 - сократили на 2

Ответ: 3,11(37) = 3 целых 563/4950.

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Когда период начинается сразу после запятой, нужно в числитель поставить число, которое в периоде, а в знаменатель столько девяток, сколько цифр в периоде.

5,(112) = 5 + 0,(112) = 5 целых 112/999

Ответ: 5,(112) = 5 целых 112/999.

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Помогите пожалуйста решите срочно. 3,11(37). 5,(112).

Ответы

Помогите пожалуйста решите срочно.
3,11(37).
5,(112).