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Find an equivalent ratio in simplest terms:

42:10
:

Find an equivalent ratio in simplest terms:\newline42:1042: 10\newline\square : \square

Full solution

Q. Find an equivalent ratio in simplest terms:\newline42:1042: 10\newline\square : \square
  1. Find GCD: To simplify the ratio 42:1042:10, we need to find the greatest common divisor (GCD) of 4242 and 1010 that can be used to divide both numbers.
  2. Divide by GCD: The GCD of 4242 and 1010 is 22, because 22 is the largest number that divides both 4242 and 1010 without leaving a remainder.
  3. Calculate Simplified Ratio: Now, we divide both terms of the ratio by the GCD. So, we divide 4242 by 22 and 1010 by 22.\newlineCalculation: 42÷2=2142 \div 2 = 21 and 10÷2=510 \div 2 = 5.
  4. Final Simplified Ratio: After dividing, we get the simplified ratio 21:521:5. This is the simplest form of the ratio 42:1042:10.

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