Math

QuestionConvert 2582 \frac{5}{8} to decimal and identify Ariel's error in saying it's 2.58.

Studdy Solution

STEP 1

Assumptions1. The fraction given is 58 \frac{5}{8}. . We need to convert this fraction to a decimal.
3. Ariel's statement that 58 \frac{5}{8} is the same as.58 is incorrect.

STEP 2

First, we need to understand that 2582 \frac{5}{8} is a mixed number, which consists of a whole number (2) and a fraction (5/8).

STEP 3

To convert a mixed number to a decimal, we keep the whole number as it is and convert the fraction to a decimal.

STEP 4

The decimal equivalent of a fraction is obtained by dividing the numerator by the denominator.
Decimalequivalentoffraction=umeratorDenominatorDecimal\, equivalent\, of\, fraction = \frac{umerator}{Denominator}

STEP 5

Now, plug in the given values for the numerator and denominator to calculate the decimal equivalent.
Decimalequivalentoffraction=58Decimal\, equivalent\, of\, fraction = \frac{5}{8}

STEP 6

Calculate the decimal equivalent of the fraction.
Decimalequivalentoffraction=58=0.625Decimal\, equivalent\, of\, fraction = \frac{5}{8} =0.625

STEP 7

Now that we have the decimal equivalent of the fraction, we can write the mixed number as a decimal by combining the whole number and the decimal.
Mixednumberasdecimal=Wholenumber+DecimalequivalentoffractionMixed\, number\, as\, decimal = Whole\, number + Decimal\, equivalent\, of\, fraction

STEP 8

Plug in the values for the whole number and the decimal equivalent of the fraction.
Mixednumberasdecimal=2+0.625Mixed\, number\, as\, decimal =2 +0.625

STEP 9

Calculate the mixed number as a decimal.
Mixednumberasdecimal=2+.625=2.625Mixed\, number\, as\, decimal =2 +.625 =2.625So, 2582 \frac{5}{8} is the same as2.625.

STEP 10

Now, let's identify Ariel's likely error. Ariel stated that 2582 \frac{5}{8} is the same as2.58, which is incorrect. Ariel likely made an error in converting the fraction5/8 to a decimal. Instead of dividing5 by8 to get0.625, Ariel likely misread the fraction as58/100, which is0.58.

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