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2,88 ÷ 3 3/5

Mathematics

ScanSolve AI Answer

Answer

45\frac{4}{5}

Step-by-step solution

5 steps

Here's the solution to the problem:

2,88÷3352,88 \div 3\frac{3}{5}

  1. Convert the decimal to a fraction and the mixed number to an improper fraction.

    2,88=288100=72252,88 = \frac{288}{100} = \frac{72}{25} 335=(3×5)+35=15+35=1853\frac{3}{5} = \frac{(3 \times 5) + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5}

  2. Rewrite the division problem with the fractions.

    7225÷185\frac{72}{25} \div \frac{18}{5}

  3. Perform the division by multiplying by the reciprocal of the second fraction.

    7225×518\frac{72}{25} \times \frac{5}{18}

  4. Multiply the numerators and the denominators, then simplify.

    72×525×18=360450\frac{72 \times 5}{25 \times 18} = \frac{360}{450}

  5. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor.

    Both are divisible by 90.

    360÷90450÷90=45\frac{360 \div 90}{450 \div 90} = \frac{4}{5}

    Alternatively, simplify before multiplying:

    7225×518=7218×525=4×15=45\frac{72}{25} \times \frac{5}{18} = \frac{72}{18} \times \frac{5}{25} = 4 \times \frac{1}{5} = \frac{4}{5}

    The final answer is 45\frac{4}{5}.

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