1.71/4.56 ratio simplified.
First, let's clean it up by multiplying top (numerator) and bottom (denominated) by 100. Now we have 171/456.
Next, I use an old trick. If you add up the digits in a number and the answer is divisible by 3, the number is divisible by 3.
1+7+1 = 9 and 9 is evenly divisible by 3, so 171 is divisible by 3.
Similarly, with 456, 4+5+6 = 15 and 3 goes evenly into 15, so 3 goes in evenly to 15. Alternatively, we can take the answer 15, and go 1+5 = 6 and 3 goes evenly into 6 so 3 goes evenly into 456.
171 ÷ 3 = 57
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456 ÷ 3 = 152
Since is 57, 5+7 = 12 and 1+2 =3, 3 goes into 57 19 times.
Since 152 is even, factors are 2 and 76. Factoring 76, 2 and 38. Factoring 38, 2 and 19. So 152 is 2 x 2 x 2 x 19.
Since 19 is common, we can divide top (numerator) and bottom (denominated) by 19.
57 ÷ 19 = 3
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152 ÷ 19 = 8
Thus, the final answer is 3/8.
Alternatively, you can factor 171 and 456 and divide by the highest common factor, which are the factors that are common to both.
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