Example Question - arithmetic problem
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Calculation of Stadium Capacity Increase
<p>Verilen bilgiye göre, eski stadyumun kapasitesi 2500 taraftar. Yeni stadyumun kapasitesi eski stadyumun iki katıdır ve bu yeni stadyuma ek olarak daha fazla taraftar sığmaktadır. Eski stadyumun iki katı kapasitesi, \(2 \times 2500 = 5000\)'dir. Ancak bu sorunun çözümü için ek bilgi olmadığından, "daha fazla" ifadesiyle ne kadar daha fazla taraftarın sığabileceği belirsizdir. Bu nedenle, bu bilgi olmadan kesin bir cevap vermek mümkün değildir. Ek bilgi sağlandığı takdirde hesaplama tamamlanabilir.</p>
Solving Arithmetic Problem with Division and Multiplication
这个数学问题是用基本的算术运算来解决的。这里有两个算术运算符：除以（÷）和乘以（×）。按照运算顺序（先乘除，后加减），我们首先执行除法，然后执行乘法。 解题步骤如下： 1. 首先，计算第一个除法：7 ÷ 7，结果是 1。 2. 然后，计算第二个除法：1 ÷ 7，结果是 1/7 或者约等于 0.142857。 3. 最后，将 1/7 与 7 相乘得到最终结果。 综合上面的步骤我们得到： 7 ÷ 7 ÷ 7 × 7 = 1 ÷ 7 × 7 = 1/7 × 7 = 1 × 1 = 1 所以，最终的结果是 1。
Multiplying mixed numbers
The image displays an arithmetic problem involving the multiplication of two mixed numbers: \(3\frac{1}{4}\) and \(4\frac{2}{3}\). First, we need to convert each mixed number into an improper fraction. To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator, then write the result over the original denominator. For \(3\frac{1}{4}\): \(3 \cdot 4 + 1 = 12 + 1 = 13\) So, \(3\frac{1}{4}\) as an improper fraction is \(\frac{13}{4}\). For \(4\frac{2}{3}\): \(4 \cdot 3 + 2 = 12 + 2 = 14\) So, \(4\frac{2}{3}\) as an improper fraction is \(\frac{14}{3}\). Now, multiply the two improper fractions: \(\frac{13}{4} \times \frac{14}{3}\) Multiply the numerators together and the denominators together: \( \frac{13 \times 14}{4 \times 3} = \frac{182}{12} \) To simplify the resulting fraction, we need to find the greatest common divisor (GCD) of 182 and 12. The GCD of 182 and 12 is 2. Now, divide both the numerator and the denominator by the GCD to simplify: \( \frac{182 \div 2}{12 \div 2} = \frac{91}{6} \) The fraction \(\frac{91}{6}\) is an improper fraction. To express it as a mixed number, divide 91 by 6: \( 91 \div 6 = 15 \) remainder \(1\) So, the mixed number is \(15\frac{1}{6}\). Therefore, \(3\frac{1}{4} \times 4\frac{2}{3} = 15\frac{1}{6}\).
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