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7 + 7/13 - 5

Mathematics

ScanSolve AI Answer

Answer

−36791-\frac{367}{91}

Step-by-step solution

3 steps

  1. Find a common denominator for the fractions 37\frac{3}{7} and 713\frac{7}{13}.

    The least common multiple of 7 and 13 is 7×13=917 \times 13 = 91.

  2. Convert all terms to fractions with the common denominator 91.

    37=3×137×13=3991\frac{3}{7} = \frac{3 \times 13}{7 \times 13} = \frac{39}{91} 713=7×713×7=4991\frac{7}{13} = \frac{7 \times 7}{13 \times 7} = \frac{49}{91} 5=51=5×911×91=455915 = \frac{5}{1} = \frac{5 \times 91}{1 \times 91} = \frac{455}{91}

  3. Substitute these equivalent fractions back into the expression and perform the operations.

    3991+4991−45591\frac{39}{91} + \frac{49}{91} - \frac{455}{91} 39+49−45591\frac{39 + 49 - 455}{91} 88−45591\frac{88 - 455}{91} −36791\frac{-367}{91}

    The final answer is −36791-\frac{367}{91}.

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