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Debora [2.8K]
3 years ago
12

7 1/2 divided by 1 9/10 simplified

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

\frac{15}{2}  \times  \frac{10}{19}  =  \frac{75}{19}

3 \frac{18}{19}

Nina [5.8K]3 years ago
4 0

Answer:

\large\boxed{3\dfrac{18}{19}}

Step-by-step explanation:

\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}

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Complete question:

<em>The leatherback sea turtle is the fastest known reptile, with a maximum speed of 21.92 miles per hour (mph). </em>

<em>Which of the following equations, where d is distance in miles and t is time in hours, represents a speed that is less than that of the leatherback sea turtle? </em>

<em> </em>

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<em />

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<em>a (2.192t) and b (20t)</em>

<em />

Step-by-step explanation:

Since units for distance and time are all measured in miles and hours respectively, we can simply compare the values of the options given with the leatherback turtle speed and express if the value is lower or not. We must pay special attention to the decimal separator in some cases.

<em />

<em>Leatherback sea turtle: </em><em>d = 21.92t</em>

<em>a.</em><em> d = 2.192t  </em><em>is less </em><em>than 21.92t</em>

<em>b.</em><em> d = 20t  </em><em>is less </em><em>than 21.92t</em>

<em>c.</em><em> d = 22t  </em><em>is more </em><em>than 21.92t   </em>

<em>d.</em><em> d = 30t </em><em>is more </em><em>than 21.92t</em>

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