Soru
pagrad N gina ((-7)/(8))-((2)/(6))= ((2)/(5))-((-5)/(6))= ((1)/(5))-((1)/(8))= ((-1)/(3))-((4)/(5))=
Çözüm
4.5328 Voting
Cihan
Usta · 5 yıl öğretmeniUzman doğrulaması
Cevap
Let's solve each of the given expressions step by step.<br /><br />1. \((\frac{-7}{8}) - (\frac{2}{6})\)<br /><br />First, we need to find a common denominator for the fractions. The least common multiple of 8 and 6 is 24.<br /><br />\[<br />\frac{-7}{8} = \frac{-7 \times 3}{8 \times 3} = \frac{-21}{24}<br />\]<br /><br />\[<br />\frac{2}{6} = \frac{2 \times 4}{6 \times 4} = \frac{8}{24}<br />\]<br /><br />Now, subtract the fractions:<br /><br />\[<br />\frac{-21}{24} - \frac{8}{24} = \frac{-21 - 8}{24} = \frac{-29}{24}<br />\]<br /><br />So, \((\frac{-7}{8}) - (\frac{2}{6}) = \frac{-29}{24}\).<br /><br />2. \((\frac{2}{5}) - (\frac{-5}{6})\)<br /><br />First, we need to find a common denominator for the fractions. The least common multiple of 5 and 6 is 30.<br /><br />\[<br />\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}<br />\]<br /><br />\[<br />\frac{-5}{6} = \frac{-5 \times 5}{6 \times 5} = \frac{-25}{30}<br />\]<br /><br />Now, subtract the fractions:<br /><br />\[<br />\frac{12}{30} - \frac{-25}{30} = \frac{12 + 25}{30} = \frac{37}{30}<br />\]<br /><br />So, \((\frac{2}{5}) - (\frac{-5}{6}) = \frac{37}{30}\).<br /><br />3. \((\frac{1}{5}) - (\frac{1}{8})\)<br /><br />First, we need to find a common denominator for the fractions. The least common multiple of 5 and 8 is 40.<br /><br />\[<br />\frac{1}{5} = \frac{1 \times 8}{5 \times 8} = \frac{8}{40}<br />\]<br /><br />\[<br />\frac{1}{8} = \frac{1 \times 5}{8 \times 5} = \frac{5}{40}<br />\]<br /><br />Now, subtract the fractions:<br /><br />\[<br />\frac{8}{40} - \frac{5}{40} = \frac{8 - 5}{40} = \frac{3}{40}<br />\]<br /><br />So, \((\frac{1}{5}) - (\frac{1}{8}) = \frac{3}{40}\).<br /><br />4. \((\frac{-1}{3}) - (\frac{4}{5})\)<br /><br />First, we need to find a common denominator for the fractions. The least common multiple of 3 and 5 is 15.<br /><br />\[<br />\frac{-1}{3} = \frac{-1 \times 5}{3 \times 5} = \frac{-5}{15}<br />\]<br /><br />\[<br />\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}<br />\]<br /><br />Now, subtract the fractions:<br /><br />\[<br />\frac{-5}{15} - \frac{12}{15} = \frac{-5 - 12}{15} = \frac{-17}{15}<br />\]<br /><br />So, \((\frac{-1}{3}) - (\frac{4}{5}) = \frac{-17}{15}\).
Derecelendirmek için tıklayın: