5 7\10 × 7 4\16= I'm trash with multypliing

9514 1404 393

  41 13/40

Step-by-step explanation:

Generally, you're told to multiply mixed numbers by converting each to an improper fraction:

  5 7/10 = (5·10 +7)/10 = 57/10

  7 4/16 = (7·16 +4)/16 = 116/16

The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

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You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).

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Alternate solution

You can also treat this as the product of two sums. The distributive property is handy for this.

  (5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)

  = 35 +5/4 +49/10 +7/40

  = 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts

  = 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator

  = 40 +53/40 = 41 13/40