Because 1 x 9 = 3 x 3 = 9, 13 is similar to 39. 26 equals 39 because 2 x 9 = 6 x 3 = 18. 412 equals 39 because 4 x 9 = 12 x 3 = 36.

- What unit fraction is equivalent to 3 + 3 + 9?
- What fraction with 3 as a denominator is equivalent to 8 + 12?
- How do you reduce 9 33 as a fraction?
- What is a fraction whose numerator and denominator represent the same quantity but different units?
- What is the equivalent fraction to 610?
- What does it mean to divide a whole number by a unit fraction?
- What is 2/3 to the fifth power in fraction form?

Because 2 x 12 = 3 x 8 = 24, 23 equals 812. (12 - 1) / 3 = $813.33$.

Using the GCD or HCF approach, 3/11 is the simplified fraction of 9/33. Using the prime factorization approach, 3/11 is the simplified fraction of 9/33. There are two ways to simplify 9/33: either divide by 3 and then multiply by 11 or divide 11 into the fraction first. In this case, there is no need to multiply by 11 since we already divided by it. Thus, the reduced fraction is 3/11.

In general, if you have a fraction with a whole number in the denominator, then there are two ways to reduce it: either divide by **that number** or multiply by its reciprocal. If you have a fraction with a non-whole number in the denominator, then there are generally multiple ways to reduce it. For example, if I give you the problem 6/41, you could divide by 6 or 41 to get **the same result**. However, if I were to ask you to find **all the ways** to reduce 6/41, you would see that there are actually three ways to reduce it: 6/41, 12/41, and 18/41.

As another example, say I give you the problem 496/256. You could divide by 496 or 256 to get the same result.

Similarity, Ratios, and Proportions

Question | Answer |
---|---|

conversion factor | A fraction whose numerator and denominator represent the same quantity but use different units. |

cross products | The product of numbers on the diagonal when comparing two ratios. |

dilation | A transformation that enlarges or reduces a figure. |

How Do You Write "6.1" or "610%" as a Fraction?

Decimal | Fraction | Percentage |
---|---|---|

6.3 | 63/10 | 630% |

6.2 | 62/10 | 620% |

6.1 | 61/10 | 610% |

6 | 60/10 | 600% |

When dividing a whole number by a unit fraction, multiplying the entire number by the denominator of the unit fraction always works! This is because a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab for any two integers a and b with b nonzero.

For example, if you were to divide 65 by 4, you would multiply 65 by 4 which equals 52. Then you would divide 52 by 1 which equals 5. So, 52/4 = 13 and 26/1 = 13.

Dividing a whole number by a unit fraction where the denominator is not one is more complicated. There are two common methods used to divide numbers that do not end in 0 or 5: decimal division and root division. Decimal division is using digits after the decimal point while root division is using the root symbol (÷) instead of digits.

For example, let's say we wanted to know what is 2/3 minus 7? First, we would use decimal division by dropping the decimal point and moving **all the digits** to the right of the decimal point over to the other side of the equation. In this case, it is simple because we can just add them together: 0 + 7 = 7. Now, we can subtract 7 from 2/3 to get 1 as our answer.

Root division is using the root symbol (÷) instead of digits.

The solution is -32244. The reason this value was chosen is because it is equal to 2/3 times 7, which is the power of 7 divided by 2/3. Therefore, 32244 is equivalent to 2/3 times 7 up to a constant.