Accepted Solution
In a step-by-step process, let's try to comprehend how we go about calculating exactly what 4/12 divided by 6/11 is. To understand this, we need to dissect each fraction to its integral parts — the numerator and the denominator. The numerator and denominator from the dividend fraction are 4 and 12 respectively, while from the divisor fraction are 6 and 11 correspondingly.
\[ \frac{4}{12} ÷ \frac{6}{11} \]
Step 1: Start with multiplying the numerator from the dividend, 4, and the denominator of the divisor, 11. A simple multiplication of 4 and 11 yields 44. This is the numerator of the final answer.
\[ 4 \times 11 = 44 \]
Step 2: Subsequently, multiply the denominator of the dividend, 12, by the numerator of the divisor, 6. This calculated product 72 is the denominator of the answer.
\[ 12 \times 6 = 72 \]
Step 3: By merging these two obtained values, we get our fraction answer.
\[ \frac{44}{72} = \frac{11}{18} \]
However, if we want our answer is decimal form, simply divide 44 by 72 which gives us approximately 0.611.
\[ \frac{44}{72} = 0.611 \]
So, stated in decimal form, 4/12 divided by 6/11 is approximately 0.611, while the fractional answer is 11/18.
Now that you’ve mastered this, try practising similar division problems like: