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(5)/(8)+(3)/(16) (8)/(24) (13)/(16) (16)/(16)

Pergunta

(5)/(8)+(3)/(16)
(8)/(24)
(13)/(16)
(16)/(16)

(5)/(8)+(3)/(16) (8)/(24) (13)/(16) (16)/(16)

Solução

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PabloMestre · Tutor por 5 anos

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To add the fractions \(\frac{5}{8}\) and \(\frac{3}{16}\), we need to find a common denominator. The least common denominator (LCD) of 8 and 16 is 16.<br /><br />First, convert \(\frac{5}{8}\) to a fraction with a denominator of 16:<br />\[<br />\frac{5}{8} = \frac{5 \times 2}{8 \times 2} = \frac{10}{16}<br />\]<br /><br />Now, add \(\frac{10}{16}\) and \(\frac{3}{16}\):<br />\[<br />\frac{10}{16} + \frac{3}{16} = \frac{10 + 3}{16} = \frac{13}{16}<br />\]<br /><br />So, the sum of \(\frac{5}{8}\) and \(\frac{3}{16}\) is \(\frac{13}{16}\).<br /><br />The other fractions you provided are:<br />\[<br />\frac{8}{24} = \frac{8 \div 8}{24 \div 8} = \frac{1}{3}<br />\]<br /><br />\[<br />\frac{16}{16} = 1<br />\]<br /><br />Therefore, the correct answer is:<br />\[<br />\frac{13}{16}<br />\]
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