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Evaluate: 0.0133 div 0.07...

Evaluate:
`0.0133 div 0.07`

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The correct Answer is:
To evaluate \( 0.0133 \div 0.07 \), we can follow these steps: ### Step 1: Rewrite the division as a fraction We can express the division of decimals as a fraction: \[ \frac{0.0133}{0.07} \] ### Step 2: Eliminate the decimals To eliminate the decimals, we can multiply both the numerator and the denominator by 1000 (the least common multiple of the powers of 10 needed to make both numbers whole): \[ \frac{0.0133 \times 1000}{0.07 \times 1000} = \frac{13.3}{70} \] ### Step 3: Convert to whole numbers Next, we can convert \( 13.3 \) into a whole number by multiplying by 10: \[ \frac{13.3 \times 10}{70 \times 10} = \frac{133}{700} \] ### Step 4: Perform the division Now we divide \( 133 \) by \( 7 \): 1. \( 7 \) goes into \( 13 \) once (1), with a remainder of \( 6 \). 2. Bring down the next digit \( 3 \) to make it \( 63 \). 3. \( 7 \) goes into \( 63 \) nine times (9), with no remainder. So, we have: \[ 133 \div 7 = 19 \] ### Step 5: Consider the denominator Now we need to account for the denominator \( 700 \): \[ \frac{19}{100} = 0.19 \] ### Final Answer Thus, the result of \( 0.0133 \div 0.07 \) is: \[ \boxed{0.19} \]
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