# Calculator decimal to fraction

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

### 0.625 5/8

Spelled result in words is five eighths. =### How do you solve fractions step by step?

- Conversion a decimal number to a fraction: 0.625 = 625/1000 = 5/8

a) Write down the decimal 0.625 divided by 1: 0.625 = 0.625/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

0.625/1 = 6.25/10 = 62.5/100 = 625/1000

Note: 625/1000 is called a*decimal fraction*.

c) Simplify and reduce the fraction

625/1000 = 5 * 125/8 * 125 = 5~~* 125~~/8~~* 125~~= 5/8

#### Rules for expressions with fractions:

**Fractions**- simply use a forward slash between the numerator and denominator, i.e., for five-hundredths, enter

**5/100**. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

**Mixed numerals**(mixed fractions or mixed numbers) write as integer separated by one space and fraction i.e.,

**1 2/3**(having the same sign). An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e.,

**1/2 : 3**.

Decimals (decimal numbers) enter with a decimal point

**.**and they are automatically converted to fractions - i.e.

**1.45**.

The colon

**:**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

**1 2/3 : 4 3/8**or can be used for write complex fractions i.e.

**1/2 : 1/3**.

An asterisk

*****or

**×**is the symbol for multiplication.

Plus

**+**is addition, minus sign

**-**is subtraction and

**()[]**is mathematical parentheses.

The exponentiation/power symbol is

**^**- for example:

**(7/8-4/5)^2**= (7/8-4/5)

^{2}

The calculator follows well-known rules for

**the order of operations**. The most common mnemonics for remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

**MDAS**- Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.

Be careful; always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

- A quarter

A quarter of the number 72 is: - Fraction to decimal

Write the fraction 3/22 as a decimal. - Fraction and a decimal

Write as a fraction and a decimal. One and two plus three and five hundredths - Unknown number

I think the number - its sixth is 3 smaller than its third. - One-third 2

One-third of the people in a barangay petitioned the council to allow them to plant in vacant lots, and another 1/5 of the people petitioned to have a regular garbage collection. What FRACTION of the barangay population made the petition? - Pears

There were pears in the basket, I took two-fifths of them, and left six in the basket. How many pears did I take? - Miss competition

How many girls took part in the Miss School competition if the nines grade made up half of the contestants, two-thirds of the remaining girls were eighth grade, and the seventh grade were three? - Simple equation 6

Solve equation with one variable: X/2+X/3+X/4=X+4 - Cakes

On the bowl were a few cakes. Jane ate one-third of them, and Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on the bowl? - Farmers 2

On Wednesday the farmers at the Grant Farm picked 2 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday? - Cupcakes 2

Susi has 25 cupcakes. She gives 4/5. How much does she have left? - Rolls

Mom bought 13 rolls. Dad ate 3.5 rolls. How many rolls were left when Peter yet ate two at dinner? - Simple equation 5

Solve equation with fractions: X × 3/8 = 1/2

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