Question

Write each fraction or mixed number as a decimal. Use bar notation to show a repeating

Answer 1

1)  Given:  4/15 ;
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   {REFER TO ATTACHED PHOTO—for answer and explanation}.
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2)  Given:  2 ⅜ ; (that is, "Two and three-eighths");
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   →  This is a mixed number.  (As an improper fraction, it would be written as "19/8" ; (that is, "nineteen eighths").  
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Method 1)  Begin by converting:  "2 ⅜" to an "improper fraction"; then treat the "improper fraction" as a "division problem" (i.e., "numerator divided by the denominator") to get the answer in "decimal form".
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 Given:  "2 ⅜" ;  we shall convert this into an "improper fraction";
  as follows:

We multiply:  "(8*2)" ; to get: "16".  
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Then, we add the "3" (from the "⅜") to this value:
 
  → "(16 + 3)" ; to get:  "19".
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 Then, this value goes over the "8" (from "⅜"): → "19/8" .
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      → 19/8 = 19 ÷ 8 = 2.375 .  (Use calculator, if needed/desired).
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   →   2 ⅜ = 2.375 .
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Method 2)
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     The number given, " 2 ⅜ " , is a mixed number.
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     Note that:  "2 ⅜"  =  2  +  ⅜ "
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         →   2  + ⅜  =  2  +  0.375  =  2.375   .
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