# Calculator square root of a fraction

The Calculator finds the square root of a fraction. Firstly find the square root of the numerator and place it over the square root of the denominator. Then simplify the result to the lowest terms or a mixed number if possible. Often leads to irrational number results.

### sqrt(1/16) = 1/4 = 0.25

Spelled result in words is one quarter.### How do we solve fractions step by step?

- Square root: sqrt(1/16) = √ 1/16 = 1/4

#### Rules for expressions with fractions:

**Fractions**- use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter

**5/100**. If you use mixed numbers, leave a space between the whole and fraction parts.

**Mixed numerals**(mixed numbers or fractions) keep one space between the integer and

fraction and use a forward slash to input fractions i.e.,

**1 2/3**. An example of a negative mixed fraction:

**-5 1/2**.

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

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

Decimals (decimal numbers) enter with a decimal point

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

**1.45**.

### Math Symbols

Symbol | Symbol name | Symbol Meaning | Example |
---|---|---|---|

+ | plus sign | addition | 1/2 + 1/3 |

- | minus sign | subtraction | 1 1/2 - 2/3 |

* | asterisk | multiplication | 2/3 * 3/4 |

× | times sign | multiplication | 2/3 × 5/6 |

: | division sign | division | 1/2 : 3 |

/ | division slash | division | 1/3 / 5 |

: | colon | complex fraction | 1/2 : 1/3 |

^ | caret | exponentiation / power | 1/4^3 |

() | parentheses | calculate expression inside first | -3/5 - (-1/4) |

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:

- Express value

Given that p = √(mx/t-t² x) Make x the subject If m = 7, p = -3 and t = 4, find the value of x - Z-score test

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a d - Height UT

How long is height in the equilateral triangle with a side e = 43? - Summaries

A specialist teacher observes time taken by each of the students with learning disabilities to complete a psychological task. She summaries the times using the following: Time Taken(mins) ; 1-5; 6-10; 11-12; 16-20 No. of Student ; 2 ; 4 ; 12; 4 Using the - The length 9

The length of a cuboid is thrice its width. What is the length if the height and volume of the cuboid measures 4cm and 300 cu cm, respectively? - Calculate 65154

Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Irregular hexagon

There is an irregular hexagon whose sides are the same length. The opposite sides are parallel, and their distance is 237, 195, and193. What is its area? - Calculate 64584

The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - Calculate 69244

The surface of the sphere is 624 cm². Calculate its radius. - Percentage 67564

A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in the sphere G. What percentage of the volume of the cube K is made up of the volume of the cube K1? - Observer 64354

At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end?

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