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Original 2026-01-01
Modified 2026-02-28
1 <p>Every decimal<a>number</a>can be written as a fraction by removing the decimal point, dividing by a<a>power</a>of 10, and simplifying.</p>
1 <p>Every decimal<a>number</a>can be written as a fraction by removing the decimal point, dividing by a<a>power</a>of 10, and simplifying.</p>
2 <p><strong>Step 1:</strong>Write the number without the decimal point. </p>
2 <p><strong>Step 1:</strong>Write the number without the decimal point. </p>
3 <p><strong>Step 2:</strong>Place the number over 10, 100, or 1000, depending on the number of decimal places. </p>
3 <p><strong>Step 2:</strong>Place the number over 10, 100, or 1000, depending on the number of decimal places. </p>
4 <p><strong>Step 3:</strong>Reduce the fraction to its simplest form. </p>
4 <p><strong>Step 3:</strong>Reduce the fraction to its simplest form. </p>
5 <p>Example: Convert 7.2 to a fraction. </p>
5 <p>Example: Convert 7.2 to a fraction. </p>
6 <p>Writing the number without the decimal point, we get 72 </p>
6 <p>Writing the number without the decimal point, we get 72 </p>
7 <p>Divide by 10: \(\frac{72}{10} \) </p>
7 <p>Divide by 10: \(\frac{72}{10} \) </p>
8 <p>To simplify, \(\frac{72}{10}\), we should find the GCF of 72 and 10. </p>
8 <p>To simplify, \(\frac{72}{10}\), we should find the GCF of 72 and 10. </p>
9 <p>Let us list the<a>factors</a>of 72 and 10. </p>
9 <p>Let us list the<a>factors</a>of 72 and 10. </p>
10 <p>Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 </p>
10 <p>Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 </p>
11 <p>Factors of 10: 1, 2, 5, 10 </p>
11 <p>Factors of 10: 1, 2, 5, 10 </p>
12 <p>Among the factors of 72 and 10, the<a>greatest common factor</a>(GCF) is 2.</p>
12 <p>Among the factors of 72 and 10, the<a>greatest common factor</a>(GCF) is 2.</p>
13 <p>Now, we should divide the<a>numerator and denominator</a>by the GCF </p>
13 <p>Now, we should divide the<a>numerator and denominator</a>by the GCF </p>
14 <p>\(72 \div 2 \div 10 \div 2 = \frac{36}{5} \)</p>
14 <p>\(72 \div 2 \div 10 \div 2 = \frac{36}{5} \)</p>
15 <p>So, \(\frac{72}{10} \) it can be simplified to \(\frac{36}{5} \) </p>
15 <p>So, \(\frac{72}{10} \) it can be simplified to \(\frac{36}{5} \) </p>
16 <p>Therefore, the fraction form of 7.2 is \(\frac{36}{5} \). </p>
16 <p>Therefore, the fraction form of 7.2 is \(\frac{36}{5} \). </p>
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