Question
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б) \( 3-1 \frac{1}{7}= \)

Ask by Welch Harper. in Russia
Jan 22,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\(3 - 1\frac{1}{7} = 1\frac{6}{7} = 1.8\dot{8}5714\dot{2}\)

Solution

Calculate or simplify the expression \( 3-1\frac{1}{7} \). Calculate the value by following steps: - step0: Calculate: \(3-1\frac{1}{7}\) - step1: Convert the expressions: \(3-\frac{8}{7}\) - step2: Reduce fractions to a common denominator: \(\frac{3\times 7}{7}-\frac{8}{7}\) - step3: Transform the expression: \(\frac{3\times 7-8}{7}\) - step4: Multiply the numbers: \(\frac{21-8}{7}\) - step5: Subtract the numbers: \(\frac{13}{7}\) Результат: \(3-1\frac{1}{7} = \frac{13}{7} = 1\frac{6}{7} = 1.8\dot{8}5714\dot{2}\)

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Beyond the Answer

Чтобы решить выражение \( 3 - 1 \frac{1}{7} \), сначала переведем смешанное число в неправильную дробь. Один целый один седьмую можно записать как \( \frac{8}{7} \). Теперь у нас есть: \( 3 - \frac{8}{7} \). Преобразуем 3 к дроби с одним и тем же знаменателем: \( 3 = \frac{21}{7} \). Теперь мы можем выполнить вычитание: \( \frac{21}{7} - \frac{8}{7} = \frac{13}{7} \). Таким образом, ответ: \( \frac{13}{7} \) или \( 1 \frac{6}{7} \) в смешанном виде.

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