< 2 frac58 = 2.625 >Solution through Separating the Parts< 2frac58 = 2 + frac58 >We understand that < frac58 >is the same as < 5 div 8 >Therefore:< 2frac58 = 2 + (5 div 8) >Then usingLong division for 5 split by 8we have< = 2 + 0.625 = 2.625 >
Solution by converting to improper Fraction< 2frac58 = 2 + frac58 >< = frac21 + frac58 >< = left(frac21 imes frac88 ight) + frac58 >< = frac168 + frac58 = frac218 >We recognize that < frac218 >is the same as < 21 div 8 >Then usingLong division for 21 divided by 8 and also rounding come a Max that 3 Decimal Places gives us < = 2.625 >
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Calculator Use

Convert mixed numbers or combined fractions come decimal numbers. Mixed number come decimal calculator finds the decimal equivalent by converting a combined number, fraction, creature or entirety number come a decimal and shows the work.

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How to transform a blended Number to a Decimal

Follow these 2 measures to transform a blended number to a decimal:

transform the portion to a decimal: division the numerator by the denominator include this decimal number come the entirety number component of the mixed number

A combined number is a totality number to add a fraction. To uncover the decimal form of a portion just division the numerator by the denominator using a calculator or long division. Then add the decimal number to the totality number.

Example: convert the blended number 7 1/4 come a decimal

convert the portion to a decimal: divide 1 through 4 1 ÷ 4 = 0.25 include 0.25 come the entirety number 7: 7 + 0.25 = 7.25

Note the this equipment works also if the fraction part that the blended number is an not correct fraction.

Example: convert the blended number 3 9/5 come a decimal

transform the fraction to a decimal: division 9 by 5 9 ÷ 5 = 1.8 include 1.8 come the entirety number 3: 3 + 1.8 = 4.8

Secondary Method: convert a blended Number come a Decimal by fraction Addition

Alternatively you can convert a blended number come a decimal by very first converting the combined number to two fractions, adding them and simplifying to a decimal.

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Example: convert the mixed number 5 2/3 to a decimal

5 2/3 = 5/1 + 2/3 5 2/3 = (5/1 * 3/3) + 2/3 5 2/3 = 15/3 + 2/3 5 2/3 = 17/3 5 2/3 = 5.667

A mixed number such together 7 1/4 can be converted to a decimal. It is implied the 7 1/4 is yes, really 7 + 1/4 and that 7 = 7/1, as such we are very first adding the portion 7/1 + 1/4. Since 4 is the denominator in the original fraction part us will use it as our usual denominator. 7/1 * 4/4 = 28/4. Then, 28/4 + 1/4 = 29/4. 29/4 = 29 ? 4 = 7.25.

Related Calculators

You can likewise see our Long department Calculator through Decimals to transform a portion to a decimal and see the work involved in the long division.