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Find : 35-:12-:3...

Find : `35-:12-:3`

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To solve the expression \( 35 \div 12 \div 3 \), we will follow the order of operations from left to right. Let's break it down step by step. ### Step 1: Divide 35 by 12 First, we need to perform the division of \( 35 \) by \( 12 \). - \( 12 \) goes into \( 35 \) a total of \( 2 \) times (since \( 12 \times 2 = 24 \)). - The remainder is \( 35 - 24 = 11 \). Now, we can express this as a decimal: - We add a decimal point and a zero to the remainder, making it \( 110 \). - \( 12 \) goes into \( 110 \) a total of \( 9 \) times (since \( 12 \times 9 = 108 \)). - The new remainder is \( 110 - 108 = 2 \). Next, we add another zero to the remainder, making it \( 20 \): - \( 12 \) goes into \( 20 \) a total of \( 1 \) time (since \( 12 \times 1 = 12 \)). - The new remainder is \( 20 - 12 = 8 \). Again, we add a zero to the remainder, making it \( 80 \): - \( 12 \) goes into \( 80 \) a total of \( 6 \) times (since \( 12 \times 6 = 72 \)). - The new remainder is \( 80 - 72 = 8 \). We can see that the division will repeat, so we can summarize: - \( 35 \div 12 = 2.9166...\) (this is a repeating decimal). ### Step 2: Divide the result by 3 Now, we need to divide the result \( 2.9166... \) by \( 3 \). - \( 3 \) goes into \( 2 \) a total of \( 0 \) times, so we place a decimal point and consider \( 29 \). - \( 3 \) goes into \( 29 \) a total of \( 9 \) times (since \( 3 \times 9 = 27 \)). - The remainder is \( 29 - 27 = 2 \). Next, we bring down a \( 0 \), making it \( 20 \): - \( 3 \) goes into \( 20 \) a total of \( 6 \) times (since \( 3 \times 6 = 18 \)). - The remainder is \( 20 - 18 = 2 \). Again, we bring down a \( 0 \), making it \( 20 \): - \( 3 \) goes into \( 20 \) a total of \( 6 \) times again. So, we can summarize: - \( 2.9166... \div 3 = 0.9722...\) (this is also a repeating decimal). ### Final Answer Thus, the final result of \( 35 \div 12 \div 3 \) is approximately \( 0.9722... \). ---
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