# Calculator fractions multiple

### 2/3 * 3/5 = 25 = 0.4

Spelled result in words is two fifths.### How do you solve fractions step by step?

- Multiple: 23 * 35 = 2 · 33 · 5 = 615 = 2 · 35 · 3 = 25

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 15) = 3. In the next intermediate step cancelling by a common factor of 3 gives 25.

In words - two thirds multiplied by three fifths = two fifths.

#### 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:

- Two divided

Two divided by nine tenths. - Evaluate expression

Evaluate expression using BODMAS rule: 1 1/4+1 1/5÷3/5-5/8 - Gear wheels

Two gear wheels, which fit together, have the number of teeth z_{1}=58 and z_{2}=149. Calculate the speed of the first wheel, if the second wheel rotates 1232 revolutions per minute. - Logic

A man can drink a barrel of water for 26 days, woman for 48 days. How many days will a barrel last between them? - The tap

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

In an company of 1050 employees are 2/3 women. How many women work in the company? - Equivalent fractions

Are these two fractions equivalent -4/9 and 11/15? - Tallest and shortest

Jenn is the tallest on the team. He is 1 1/2 times as tall as the shortest girl whom is 4 1/4 feet tall. How tall is Jebb? - Hours 3

How many hours are in 3 2/3 days? - Toilets

A federal law requires that all residential toilets sold in the United States use no more than 1 3/5 gallons of water per flush. Prior to this legislation, conventional toilets used 3 2/5 gallons of water per flush. Find the amount of water saved in one y - Oceans

The Earth's surface is approximately 510,000,000 km^{2}and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5 and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean? - Food weight

Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 o - ŽSR

Calculate fixed annual personnel costs of operating monorail line 118 km long if every 5 km is station, which serve three people - one dispatcher and two switchman in 4-shift operation. Consider the average salary of the employee 885 €.

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