# Calculator multiplying fractions

This calculator multiplies fractions. Multiplies all numerators and places the result over the product of all denominators. Then simplify the result to the lowest terms or a mixed number.

### 7/8 * 3/9 = 7/24 ≅ 0.2916667

Spelled result in words is seven twenty-fourths.### How do we solve fractions step by step?

- Multiple: 7/8 * 3/9 = 7 · 3/8 · 9 = 21/72 = 7 · 3/24 · 3 = 7/24

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 72) = 3. In the following intermediate step, cancel by a common factor of 3 gives 7/24.

In other words - seven eighths multiplied by three ninths is seven twenty-fourths.

#### 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:

- Samantha

Samantha took 72 pictures on her beach vacation. 3/4 of those pictures are on the beach. How many pictures from her vacation are on the beach? - Someone

Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten? - Two fractions multiply

What is 4/5 when multiplied by 9/10? - Two fractions multiply

What is ⅔ × ⅚? - 100/4700 66704

What is 1/8 of 100/4700? - 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? - Multiplying fractions

What is 1/3 of 5? - Roy harvested

Roy harvested 3/4 crate of guavas. He sold 1/2 of them in the neighborhood. What part of a crate of guavas sold? - Watching TV

One evening 2/3 of 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? - A pie 6

There was 5/8 of a pie left in the fridge. Daniel ate 1/4 of the leftover pie. How much of the pie did he have? - Scouts 4

4/7 out 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?

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