Solution by converting to wrong Fraction< 2frac58 = 2 + frac58 >< = frac21 + frac58 >< = left(frac21 imes frac88 ight) + frac58 >< = frac168 + frac58 = frac218 >We understand that < frac218 >is the same as < 21 div 8 >Then usingLong division for 21 divided by 8 and rounding come a Max that 3 Decimal Places offers us < = 2.625 >

## Calculator Use

Convert mixed numbers or mixed fractions come decimal numbers. Blended number to decimal calculator finds the decimal indistinguishable by converting a blended number, fraction, integer or entirety number come a decimal and shows the work.

You are watching: 23 3/8 as a decimal

## How to convert a mixed Number come a Decimal

Follow this 2 procedures to convert a mixed number to a decimal:

convert the portion to a decimal: division the numerator by the denominator include this decimal number to the whole number component of the blended numberA combined number is a totality number to add a fraction. To find the decimal type of a fraction just divide the molecule by the denominator making use of a calculator or long division. Then include the decimal number to the whole number.

### Example: transform the blended number 7 1/4 to a decimal

transform the portion to a decimal: divide 1 through 4 1 ÷ 4 = 0.25 include 0.25 come the totality number 7: 7 + 0.25 = 7.25Note the this equipment works also if the fraction part the the blended number is an improper 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 whole number 3: 3 + 1.8 = 4.8## Secondary Method: transform a blended Number come a Decimal by fraction Addition

Alternatively girlfriend can transform a mixed number come a decimal by an initial converting the mixed number to two fractions, adding them and simplifying come a decimal.

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### Example: convert 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 = 5.667A mixed number such together 7 1/4 have the right to be convert to a decimal. It is implied the 7 1/4 is really 7 + 1/4 and also that 7 = 7/1, therefore we are very first adding the fraction 7/1 + 1/4. Due to the fact that 4 is the denominator in the original fraction part us will use it together our typical 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 department Calculator v Decimals to transform a fraction to a decimal and see the work involved in the lengthy division.