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The division of 30 by 2.7 equals 100/9, which is approximately 11.11.
Solución
We need to evaluate
30 ÷ 2.7
Step 1. To eliminate the decimal in the divisor, multiply both the dividend and divisor by 10:
(30 × 10) ÷ (2.7 × 10) = 300 ÷ 27
Step 2. Simplify 300 ÷ 27 by dividing numerator and denominator by 3:
300 ÷ 3 = 100 and 27 ÷ 3 = 9
Thus, 300 ÷ 27 simplifies to 100 ÷ 9, so
30 ÷ 2.7 = 100/9
In decimal form, 100/9 is approximately 11.111… (with 1 repeating).
So, the final answer is 100/9 or approximately 11.11.
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Simplifique esta solución The Deep Dive
To divide 30 by 2.7, you can first convert 2.7 into a whole number by multiplying both the dividend (30) and the divisor (2.7) by 10. This changes the division to \( 300 \div 27 \). Now, you can perform long division. 27 goes into 300 around 11 times (since \( 27 \times 11 = 297 \)). Subtracting gives you a remainder of 3. So, you have 11 with a remainder of 3. If you want to continue, you can add a decimal and a zero to get 30. Then, 27 goes into 30 once (since \( 27 \times 1 = 27 \)), leaving a remainder of 3 again. Putting this all together, the answer to \( 30 \div 2.7 \) is approximately \( 11.1 \).
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