\< 2 \frac58 = 2.625 \>Solution by Separating the Parts\< 2\frac58 = 2 + \frac58 \>We know that \< \frac58 \>is the same as \< 5 \div 8 \>Therefore:\< 2\frac58 = 2 + (5 \div 8) \>Then usingLong department for 5 split by 8we have\< = 2 + 0.625 = 2.625 \>
Solution by converting to improper Fraction\< 2\frac58 = 2 + \frac58 \>\< = \frac21 + \frac58 \>\< = \left(\frac21 \times \frac88 \right) + \frac58 \>\< = \frac168 + \frac58 = \frac218 \>We recognize that \< \frac218 \>is the very same as \< 21 \div 8 \>Then usingLong division for 21 split by 8 and rounding to a Max the 3 Decimal Places gives us \< = 2.625 \>
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Calculator Use

Convert combined numbers or blended fractions to decimal numbers. Blended number come decimal calculator find the decimal identical by converting a blended number, fraction, essence or totality number to a decimal and shows the work.

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How to transform a combined Number to a Decimal

Follow this 2 actions to transform a combined number come a decimal:

convert the portion to a decimal: division the numerator by the denominator include this decimal number to the entirety number component of the combined number

A blended number is a entirety number add to a fraction. To discover the decimal form of a portion just division the molecule by the denominator utilizing a calculator or lengthy division. Then include the decimal number come the entirety number.

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

convert the fraction to a decimal: divide 1 through 4 1 ÷ 4 = 0.25 add 0.25 to the entirety number 7: 7 + 0.25 = 7.25

Note that this systems works even if the portion part that the mixed number is an not correct fraction.

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

transform the portion to a decimal: division 9 by 5 9 ÷ 5 = 1.8 include 1.8 come the totality number 3: 3 + 1.8 = 4.8

Secondary Method: convert a mixed Number to a Decimal by portion Addition

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

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Example: transform 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 = 5.667

A combined number such together 7 1/4 have the right to be converted to a decimal. It is implied the 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. Due to the fact that 4 is the denominator in the original portion part we will use 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 additionally see our Long department Calculator through Decimals to transform a fraction to a decimal and also see the work involved in the long division.