Question

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

decimal.
4/15
2 3/8

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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Answer 2

To write the fraction 4/15 as a decimal. The quotient is 0.2666..., which can be represented as 0.26(6) in bar notation. Similarly, the mixed number 2 3/8 as a decimal is 2.375.

• To write the fraction 4/15 as a decimal, divide 4 by 15. The quotient is 0.2666..., which can be represented as 0.266 in bar notation.
• To write the mixed number 2 3/8 as a decimal, first convert the mixed number to an improper fraction.
• Multiply the whole number (2) by the denominator (8) and add the numerator (3) to get the new numerator (19).
• The fraction is now 19/8. Divide 19 by 8 to get the decimal equivalent of 2 3/8, which is 2.375.