Step-by-step explanation:
—Let the unknown number is x, so we can write the equation like below.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex] \: [/tex]
—Find x.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex]x = \frac{3}{8} \div \frac{2}{5} [/tex]
[tex]x = \frac{3}{8} \times \frac{5}{2} [/tex]
[tex]x = \frac{15}{16} [/tex]
[tex] \: [/tex]
—Let's prove that it's true.
[tex] \frac{2}{5} \times x = \frac{3}{8} [/tex]
[tex] \frac{2}{5} \times \frac{15}{16} = \frac{3}{8} [/tex]
[tex] \frac{30}{80} = \frac{3}{8} [/tex]
[tex] \frac{30 \div 10}{80 \div 10} = \frac{3}{8} [/tex]
[tex] \frac{3}{8} = \frac{3}{8} \: \: \text{proved}[/tex]
[tex] \: [/tex]
So, the other number or the value of x is [tex]\frac{15}{16}[/tex]
