How do I find the answer to the equation?

\[ x \cdot \frac{5}{7} = \frac{30}{7} \]

or

\[ x \cdot \frac{5}{7} = 4 \frac{2}{7} \]

(What) times 5/7 = 30/7
Divide each side by 5/7 .
(What) = (30/7) divided by (5/7) = (30/7) x (7/5) = 30/5 = 6 .
(What) = 6
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Easier way:
(What) x (5/7) = 30/7
Multiply each side by 7 : (What) x (5) = (30)
Divide each side by 5 : (What) = 6

Answered by AL2006 | 2024-06-10

so the denominator (bottom number) is the same so we just want to change the numerator(top number) so 5 times what=30 in the multiplication table we remember that 5 times 6=30 so 5/7 time 6/1=30/7=(5 6)/(7 1)

Answered by apologiabiology | 2024-06-10

To find x in the equation x ⋅ 7 5 ​ = 7 30 ​ or 4 7 2 ​ , divide both sides by 7 5 ​ . This results in x = 6 for both equations. Therefore, the answer is x = 6 .
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Answered by AL2006 | 2025-05-13