Question
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h \( \frac{3}{12}+\frac{5}{8}= \)

Ask by Hill O'Quinn. in Norway
Mar 09,2025

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Answer

\[ \frac{7}{8} \]

Solution

**Krok 1: Upraszczanie ułamka** Ułamek \( \frac{3}{12} \) można uprościć, dzieląc licznik i mianownik przez 3: \[ \frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4} \] **Krok 2: Znalezienie wspólnego mianownika** Mamy teraz dwa ułamki: \( \frac{1}{4} \) oraz \( \frac{5}{8} \). Wspólnym mianownikiem dla 4 i 8 jest 8. Przekształcamy ułamek \( \frac{1}{4} \) do mianownika 8: \[ \frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \] **Krok 3: Dodawanie ułamków** Teraz dodajemy ułamki o tym samym mianowniku: \[ \frac{2}{8} + \frac{5}{8} = \frac{2+5}{8} = \frac{7}{8} \] **Odpowiedź:** \[ \frac{7}{8} \]

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To add \(\frac{3}{12}\) and \(\frac{5}{8}\), it's helpful to find a common denominator. The least common multiple of 12 and 8 is 24. Convert \(\frac{3}{12}\) to \(\frac{6}{24}\) and \(\frac{5}{8}\) to \(\frac{15}{24}\). Now, add them: \(\frac{6}{24} + \frac{15}{24} = \frac{21}{24}\). You can simplify \(\frac{21}{24}\) to \(\frac{7}{8}\) by dividing both the numerator and denominator by 3. So, \( \frac{3}{12} + \frac{5}{8} = \frac{7}{8} \). But that's not all! Did you know that fractions play a critical role in various historical contexts? In ancient Egypt, fractions were represented using unit fractions, which are their own fun journey through math! And speaking of fractions, they’re super useful in everyday life too! From cooking recipes that require splitting ingredients to budgeting finances, making sense of fractions can save both time and money.

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