Systems by Converting to Improper 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 separated by 8 and also rounding to a Max of 3 Decimal Places gives us < = 2.625 >

## Calculator Use

Convert blended numbers or blended fractions to decimal numbers. Mixed number to decimal calculator finds the decimal identical by converting a combined number, fractivity, integer or totality number to a decimal and also reflects the occupational.

You are watching: What is 15 8 as a mixed number

## How to Convert a Mixed Number to a Decimal

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

Convert the fraction to a decimal: Divide the numerator by the denominator Add this decimal number to the entirety number component of the mixed numberA combined number is a entirety number plus a fraction. To discover the decimal form of a portion just divide the numerator by the denominator utilizing a calculator or long department. Then include the decimal number to the entirety number.

### Example: Convert the mixed number 7 1/4 to a decimal

Convert the fractivity to a decimal: Divide 1 by 4 1 ÷ 4 = 0.25 Add 0.25 to the entirety number 7: 7 + 0.25 = 7.25Keep in mind that this solution works also if the fraction component of the combined number is an imcorrect fraction.

### Example: Convert the combined number 3 9/5 to a decimal

Convert the fraction to a decimal: Divide 9 by 5 9 ÷ 5 = 1.8 Add 1.8 to the whole number 3: 3 + 1.8 = 4.8## Secondary Method: Convert a Mixed Number to a Decimal by Fractivity Addition

Conversely you have the right to convert a blended number to a decimal by initially converting the blended number to two fractions, adding them and simplifying to a decimal.

See more: What Is The Greatest Common Factor ( Gcf Of 16 20 And 24 ? Greatest Common Factor Of 16 And 24 Gcf(16,24)

### 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 = 5.667A blended number such as 7 1/4 can be converted to a decimal. It is implied that 7 1/4 is really 7 + 1/4 and also that 7 = 7/1, therefore we are initially including the fractivity 7/1 + 1/4. Due to the fact that 4 is the denominator in the original fractivity component we will certainly use it as our widespread denominator. 7/1 * 4/4 = 28/4. Then, 28/4 + 1/4 = 29/4. 29/4 = 29 ? 4 = 7.25.

## Related Calculators

You deserve to additionally watch our Long Division Calculator with Decimals to convert a fraction to a decimal and check out the job-related connected in the long department.