Question

3-1/4 - 2-3/4 ÷ 5-1/4

Answer 1

Respuesta:

[tex]\frac{7}{20}[/tex]

Explicación paso a paso:

[tex]3-\frac{1}{4}-2-\frac{3}{4}\div \:5-\frac{1}{4}\\\\\frac{3}{4}\div \:5\\\\5=\frac{5}{1} \\\\=\frac{3}{4}\div \frac{5}{1}\\\\=\frac{3}{4}\cdot \frac{1}{5}\\\\=\frac{3\cdot \:1}{4\cdot \:5}\\\\3\cdot \:1=3\\\\=\frac{3}{4\cdot \:5}\\\\4\cdot \:5=20\\\\4\cdot \:5=20\\\\=3-\frac{1}{4}-2-\frac{3}{20}-\frac{1}{4}\\\\3-\frac{1}{4}\\\\=\frac{3\cdot \:4}{4}-\frac{1}{4}\\\\=\frac{3\cdot \:4}{4}-\frac{1}{4}\\\\=\frac{11}{4}\\\\=\frac{11}{4}-2-\frac{3}{20}-\frac{1}{4}\\\\[/tex]

[tex]=-\frac{2\cdot \:4}{4}+\frac{11}{4}\\\\=\frac{-2\cdot \:4+11}{4}\\\\=\frac{3}{4}\\\\=\frac{3}{4}-\frac{3}{20}-\frac{1}{4}\\\\=\frac{15}{20}-\frac{3}{20}\\\\=\frac{15-3}{20}\\\\15-3=12\\\\=\frac{12}{20}\\\\[/tex]

[tex]=\frac{3}{5}\\\\=\frac{3}{5}-\frac{1}{4}\\\\=\frac{7}{20}[/tex]