Question

como esta fraccion 5/8+3/4+/=9/4


aydaaaaa es para hoy​

Answer 1

Respuesta:

$\frac{5}{8} + \frac{3}{4} + \frac{?}{?} = \frac{9}{4}$

$\frac{5}{8} + \frac{3}{4} = \frac{5 \times 4 + 3 \times 8}{8 \times 4} = \frac{20 + 24}{32} = \frac{44}{32}$

$\frac{44}{32} + \frac{?}{?} = \frac{9}{4} \\ \\ \frac{?}{?} = \frac{9}{4} - \frac{44}{32}$

$\frac{9}{4} - \frac{44}{32} = \frac{9 \times 32 - 44 \times 4}{4 \times 32} = \frac{288 - 176}{128} = \frac{112}{128} = \frac{112 \div 8}{128 \div 8} = \frac{14}{16}$

comprobación:

$\frac{5}{8} + \frac{3}{4} + \frac{14}{16} =$

$\frac{5 \times 4 + 3 \times 8}{8 \times 4} + \frac{14}{16}$

$\frac{20 + 24}{32} + \frac{14}{16}$

$\frac{44}{32} + \frac{14}{16}$

$\frac{44 \times 16 + 14 \times 32}{16 \times 32} = \frac{704 + 448}{512} = \frac{1152}{512} =$

$\frac{1152 \div 2}{512 \div 2} = \frac{576 \div 2}{256 \div 2} = \frac{288 \div 2}{128 \div 2} = \frac{144 \div 2}{64 \div 2} = \frac{72 \div 2}{32 \div 2} = \frac{36 \div 2}{16 \div 2} = \frac{18 \div 2}{8 \div 2} = \frac{9}{4}$