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What are the fractions shown in the image?

Mathematics

ScanSolve AI Answer

Answer

3920\dfrac{39}{20}

Step-by-step solution

3 steps
  1. Simplify each fraction.

    65\frac{6}{5}

    6 and 5 have no common factors other than 1, so 65\frac{6}{5} is simplified.

    48=4÷48÷4=12\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2} 312=3÷312÷3=14\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}
  2. Add the simplified fractions 65+12+14\frac{6}{5} + \frac{1}{2} + \frac{1}{4}.

    The least common denominator (LCD) of 5, 2, and 4 is 20.

    65=6×45×4=2420\frac{6}{5} = \frac{6 \times 4}{5 \times 4} = \frac{24}{20} 12=1×102×10=1020\frac{1}{2} = \frac{1 \times 10}{2 \times 10} = \frac{10}{20} 14=1×54×5=520\frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
  3. Add the fractions.

    2420+1020+520=24+10+520=3920\frac{24}{20} + \frac{10}{20} + \frac{5}{20} = \frac{24 + 10 + 5}{20} = \frac{39}{20}

    3920\boxed{\dfrac{39}{20}}

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