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 sign 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 /) have the same priority and 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 fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four 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 decim - Right-angled 64614
Arrange the given shapes according to their area content, in descending order: Square with perimeter = 16 cm A rectangle with side a = 3 cm and perimeter o = 16 cm A right-angled triangle with a hypotenuse of 4.125 cm and a hypotenuse of 8.125 cm - Height UT
How long is the height in the equilateral triangle with a side e = 43? - Summaries
A specialist teacher observes the 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 - Equilateral 80851
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - The length 9
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid? - Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its content if you know that the side is 280 meters long. - Trapezoid 16783
The garden, in the shape of an isosceles trapezoid, has a base length of 44 m and 16 meters. The arms are 25 m long. 1/5 of the area is for a road and a cottage. How many m² of the area will be left for planting trees? - 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 20643 Calculate the area and perimeter of the building plot in the shape of an isosceles trapezoid with a base of 120 m, 95 m, and a height of 50 m.
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