Question

Quy đồng mẫu số

x-7/16=9/24

Tìm số nguyên x thỏa mãn

a)x/4=x+1/8     b)2x-1/15=3/5

Answer 1

(x-7)/16=9/24=>(3x-21)/48=18/48

a) x/4=(x+1)/8=>2x/8=(x+1)/8

=>2x=x+1=>x=1

b) (2x-1)/15=3/5=>(2x-1)/15=9/15

=)2x-1=9=)2x=10=>x=5

Answer 2

Quy đồng mẫu số \(\frac{x-7}{16}=\frac{9}{24}\)

\(\frac{9}{24}=\frac{3}{8}\)

=> \(\frac{\left(x-7\right):2}{16:2}=\frac{3}{8}\)

=> \(\left(x-7\right):2=3\)

\(x-7=3\cdot2=6\)

\(x=6+7=13\)

=> \(\frac{13-7}{16}=\frac{9}{24}=\frac{3}{8}\)( Vừa bằng nhau vừa có mẫu = 8 đấy nhé ) 

Tìm số nguyên x thỏa mãn

a) \(\frac{x}{4}=\frac{x+1}{8}\)

\(\Rightarrow8x=4\left(x+1\right)\)

\(\Rightarrow8x=4x+4\)

\(\Rightarrow8x-4x=4\)

\(\Rightarrow4x=4\Rightarrow x=1\)

b) \(\frac{2x-1}{15}=\frac{3}{5}\)

\(\Rightarrow\frac{\left(2x-1\right):3}{15:3}=\frac{3}{5}\)

\(\Rightarrow\left(2x-1\right):3=3\)

\(\Rightarrow2x-1=9\)

\(\Rightarrow2x=10\)

\(\Rightarrow x=5\)