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The product of two rational numbers is 3/8. If one of the number is 2/5 , find the other number.

Sagot :

Answer:

if i subtract 3/8 with 2/5 i get 1/40

Step-by-step explanation:

i dont know if this is correct but it seems so

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]