# Calculator expression with brackets

### 1/3 * (1/2 - 3 3/8) = -2324 ≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.### How do you solve fractions step by step?

- Conversion a mixed number 3 38 to a improper fraction: 3 3/8 = 3 38 = 3 · 8 + 38 = 24 + 38 = 278

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 88 = 248

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths - Subtract: 12 - 278 = 1 · 42 · 4 - 278 = 48 - 278 = 4 - 278 = -238

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths. - Multiple: 13 * the result of step No. 2 = 13 * (-238) = 1 · (-23)3 · 8 = -2324

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths.

#### Rules for expressions with fractions:

**Fractions**- use the 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 number 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 non-zero 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 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**.

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}

Calculator follows well-known rules for

**order of operations**. 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.

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:

- Classroom 4

In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys? - One third 2

One third of all students in class live in a house. If here are 42 students in a class, how many of them live in house? - Watching TV

One evening 2/3 students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv. - 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? - A store

A store received a shipment of 240 skateboards. In three weeks, it sold 1/3 of those skateboards. How many skateboards did the store sell? - Pie

Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat? - Icecreams

Karthik bought 30 icecreams for his birthday .2/5 of them are chocolate icecreams. Find the number of chocolate icecreams he bought? - Pie II

Vili ate three pieces of pie. If it pieces is 1/8 how much pie did he eat? - Write 3

Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem - Fractions 3

Calculate 1/9 of 27: - 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? - Scouts 4

4/7 of the students in a school are boys. If 3/8 of the boys are scouts, how many scouts are there in a school of 1878 students? - The tap

For one day flows 148 l of water out of the tap. How much water will flow out for 3/4 day?

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