High School

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3. \(\frac{21}{2} = \)
4. \(\frac{37}{4} = \)
5. \(\frac{38}{5} = \)
6. \(\frac{43}{6} = \)
7. \(\frac{70}{8} = \)
8. \(\frac{85}{10} = \)

Answer :

To solve these mathematical expressions, we need to convert each mixed number into its equivalent decimal form. Let's break it down step-by-step:


  1. [tex]\frac{21}{2}[/tex]:


    • Divide 21 by 2:
      [tex]21 \div 2 = 10.5[/tex]

    • So, [tex]\frac{21}{2} = 10.5[/tex]



  2. [tex]\frac{37}{4}[/tex]:


    • Divide 37 by 4:
      [tex]37 \div 4 = 9.25[/tex]

    • So, [tex]\frac{37}{4} = 9.25[/tex]



  3. [tex]\frac{38}{5}[/tex]:


    • Divide 38 by 5:
      [tex]38 \div 5 = 7.6[/tex]

    • So, [tex]\frac{38}{5} = 7.6[/tex]



  4. [tex]\frac{43}{6}[/tex]:


    • Divide 43 by 6:
      [tex]43 \div 6 \approx 7.1667[/tex]

    • So, [tex]\frac{43}{6} \approx 7.17[/tex] (rounded to two decimal places)



  5. [tex]\frac{70}{8}[/tex]:


    • Divide 70 by 8:
      [tex]70 \div 8 = 8.75[/tex]

    • So, [tex]\frac{70}{8} = 8.75[/tex]



  6. [tex]\frac{85}{10}[/tex]:


    • Divide 85 by 10:
      [tex]85 \div 10 = 8.5[/tex]

    • So, [tex]\frac{85}{10} = 8.5[/tex]




In summary, by dividing the numerator by the denominator, each fraction is converted to its decimal form, which describes the same value in a different representation.

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