< 2 frac58 = 2.625 >Solution by Separating the Parts< 2frac58 = 2 + frac58 >We recognize that < frac58 >is the same as < 5 div 8 >Therefore:< 2frac58 = 2 + (5 div 8) >Then usingLong department for 5 divided 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 separated by 8 and rounding come a Max of 3 Decimal Places gives us < = 2.625 >
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Calculator Use

Convert blended numbers or blended fractions to decimal numbers. Combined number to decimal calculator finds the decimal equivalent by converting a combined number, fraction, creature or whole number come a decimal and shows the work.

You are watching: 2 3/5 as a decimal

How to convert a combined Number come a Decimal

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

transform the fraction to a decimal: divide the numerator by the denominator include this decimal number come the whole number component of the mixed number

A mixed number is a whole number to add a fraction. To uncover the decimal kind of a fraction just division the numerator by the denominator utilizing a calculator or lengthy division. Then include the decimal number to the totality number.

Example: transform the combined number 7 1/4 come a decimal

transform the portion to a decimal: division 1 by 4 1 ÷ 4 = 0.25 add 0.25 to the whole number 7: 7 + 0.25 = 7.25

Note that this solution works also if the portion part of the mixed number is an wrong fraction.

Example: transform the mixed number 3 9/5 to a decimal

convert the portion to a decimal: divide 9 through 5 9 ÷ 5 = 1.8 add 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 mixed number to a decimal by very first converting the mixed number to 2 fractions, including them and also simplifying come a decimal.

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Example: transform the combined 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 as 7 1/4 deserve to be converted to a decimal. That is implied the 7 1/4 is really 7 + 1/4 and that 7 = 7/1, therefore we are very first adding the fraction 7/1 + 1/4. Because 4 is the denominator in the original fraction part we will usage it together our common denominator. 7/1 * 4/4 = 28/4. Then, 28/4 + 1/4 = 29/4. 29/4 = 29 ? 4 = 7.25.

Related Calculators

You can also see our Long division Calculator with Decimals to transform a fraction to a decimal and also see the work involved in the long division.