Solution by convert to wrong Fraction\\< 2\\frac58 = 2 + \\frac58 \\>\\< = \\frac21 + \\frac58 \\>\\< = \\left(\\frac21 \\times \\frac88 \\right) + \\frac58 \\>\\< = \\frac168 + \\frac58 = \\frac218 \\>We know that \\< \\frac218 \\>is the very same as \\< 21 \\div 8 \\>Then usingLong division for 21 divided by 8 and also rounding to a Max the 3 Decimal Places provides us \\< = 2.625 \\>

## Calculator Use

Convert combined numbers or mixed fractions to decimal numbers. Combined number come decimal calculator find the decimal tantamount by converting a combined number, fraction, creature or totality number to a decimal and also shows the work.

You are watching: 2 1/4 as a decimal

## How to transform a blended Number come a Decimal

Follow this 2 steps to transform a blended number come a decimal:

convert the fraction to a decimal: division the molecule by the denominator add this decimal number to the entirety number part of the combined numberA combined number is a whole number plus a fraction. To discover the decimal form of a fraction just divide the molecule by the denominator making use of a calculator or lengthy division. Then add the decimal number come the whole number.

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

transform the portion to a decimal: divide 1 through 4 1 ÷ 4 = 0.25 add 0.25 to the entirety number 7: 7 + 0.25 = 7.25Note that this solution works also if the portion part the the combined number is an not correct fraction.

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

convert the fraction to a decimal: divide 9 by 5 9 ÷ 5 = 1.8 include 1.8 to the totality number 3: 3 + 1.8 = 4.8## Secondary Method: convert a blended Number to a Decimal by fraction Addition

Alternatively girlfriend can transform a combined number to a decimal by very first converting the mixed number to 2 fractions, adding them and also simplifying to a decimal.

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### Example: transform the blended 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 blended number such together 7 1/4 can be converted to a decimal. It is implied that 7 1/4 is yes, really 7 + 1/4 and also that 7 = 7/1, therefore we are first adding the fraction 7/1 + 1/4. Since 4 is the denominator in the original portion part us will usage 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 likewise see our Long department Calculator with Decimals to convert a fraction to a decimal and also see the work connected in the lengthy division.