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Fill in the gaps that would make thes fractions equivalent (3)/(7)=(◻)/(21)

Fill in the gaps that would make thes fractions equivalent\newline37=□21 \frac{3}{7}=\frac{\square}{21}

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Full solution

Q. Fill in the gaps that would make thes fractions equivalent\newline37=□21 \frac{3}{7}=\frac{\square}{21}
  1. Calculate Denominator Ratio: To find the equivalent fraction, we need to determine what number multiplied by 77 gives us 2121. This is because the denominators must be in the same ratio as the numerators for the fractions to be equivalent.\newlineCalculation: 21÷7=321 \div 7 = 3
  2. Calculate Numerator Ratio: Now that we know the denominator was multiplied by 33 to get from 77 to 2121, we must multiply the numerator by the same number to maintain the ratio.\newlineCalculation: 3×3=93 \times 3 = 9
  3. Fill in Equivalent Fraction: We can now fill in the gap with the number we found by multiplying the numerator by 33. The equivalent fraction is (37)=(921)(\frac{3}{7}) = (\frac{9}{21}).

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