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Sladkaya [172]
3 years ago
6

I thought of a number, added 3 2/7 to it, then I multiplied the result by 1 1/2 , and got

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

\frac{25}{21}

Step-by-step explanation:

First let's convert the mixed numbers into improper fractions.

3\frac{2}{7}=\frac{23}{7}

1\frac{1}{2}=\frac{3}{2}

6\frac{5}{7}=\frac{47}{7}

Let the number be n, so we can write an equation from the word problem as:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}

Now, we do algebra and solve for n:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}\\\frac{3}{2}n+\frac{69}{14}=\frac{47}{7}\\\frac{3}{2}n=\frac{47}{7}-\frac{69}{14}\\\frac{3}{2}n=\frac{25}{14}\\n=\frac{\frac{25}{14}}{\frac{3}{2}}\\n=\frac{25}{14}*\frac{2}{3}\\n=\frac{50}{42}\\n=\frac{25}{21}

hence the number is 25/21

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