< 2 frac58 = 2.625 >Solution by Separating the Parts< 2frac58 = 2 + frac58 >We understand that < frac58 >is the exact same as < 5 div 8 >Therefore:< 2frac58 = 2 + (5 div 8) >Then usingLong department for 5 split by 8we have< = 2 + 0.625 = 2.625 >
Solution by convert to not correct Fraction< 2frac58 = 2 + frac58 >< = frac21 + frac58 >< = left(frac21 imes frac88 ight) + frac58 >< = frac168 + frac58 = frac218 >We understand that < frac218 >is the exact same as < 21 div 8 >Then usingLong department for 21 split by 8 and also rounding to a Max of 3 Decimal Places gives us < = 2.625 >
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Calculator Use

Convert combined numbers or combined fractions come decimal numbers. Mixed number come decimal calculator finds the decimal equivalent by convert a blended number, fraction, integer or totality number to a decimal and shows the work.

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How to transform a mixed Number to a Decimal

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

convert the portion to a decimal: divide the numerator by the denominator add this decimal number to the whole number part of the combined number

A combined number is a entirety number add to a fraction. To find the decimal kind of a fraction just division the numerator by the denominator using a calculator or lengthy division. Then add the decimal number come the totality number.

Example: convert the combined number 7 1/4 to a decimal

transform the fraction to a decimal: division 1 by 4 1 ÷ 4 = 0.25 include 0.25 come the whole number 7: 7 + 0.25 = 7.25

Note the this equipment works also if the portion part the the mixed number is an wrong fraction.

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

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

Secondary Method: transform a mixed Number come a Decimal by fraction Addition

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

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Example: transform the combined number 5 2/3 come 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 blended number such as 7 1/4 have the right to be convert to a decimal. The is implied the 7 1/4 is yes, really 7 + 1/4 and also that 7 = 7/1, therefore we are very first adding the fraction 7/1 + 1/4. Since 4 is the denominator in the original portion part we will usage 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 ours Long division Calculator through Decimals to transform a portion to a decimal and also see the work associated in the long division.