Accepted Solution
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<h2>Understanding Fractional Division: A Case Study of 14/16 Divided by 8/10</h2>
<p>Participating in fractional arithmetic, especially division, can seem daunting. However, breaking the task down makes it much easier to comprehend. A great example is the problem: "What is 14/16 divided by 8/10?"</p>
<h3>Methodology</h3>
<p>Initially, consider 14/16 and 8/10 as separate entities with their own numerators and denominators. For 14/16, we have 14 as the numerator and 16 as the denominator. Similarly, for 8/10, the numerator is 8 and the denominator is 10.</p>
<h3>Calculations: A Step-by-step guide</h3>
<p>To calculate these fractions, we will follow a systematic approach.</p>
<h4>Step 1:</h4>
<p>The very first step is to multiply the numerator of the first fraction (14) by the denominator of the second fraction (10), which equals 140. This result is the numerator of the answer: $(14 × 10 = 140)$.</p>
<h4>Step 2:</h4>
<p>Next, we multiply the denominator of the first fraction (16) by the numerator of the second fraction (8) to get 128, the denominator of the answer: $(16 × 8 = 128)$.</p>
<h4>Step 3:</h4>
<p>The final fraction becomes $\\frac{140}{128}$, which simplifies to $\\frac{35}{32}$. The decimal form of this fraction can be obtained by dividing 140 by 128, which yields an approximately equal value of 1.094: $\\frac{140}{128} ≈ 1.094$. Therefore, 14/16 divided by 8/10 equals 1.094 in decimal form and 35/32 in fractional form.</p>
<h3>Engaging in more typical Fraction Division Problems</h3>
<p>It's always good to try different problems for better understanding. Here are a few for practice: “What is 1/19 divided by 23?”, “5 divided by what equals 90?”, “What divided by 24 equals 42?”, “What is 2/11 divided by 4/6?”, and “What is 56 divided by 17/12?”.</p>
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