Arithmetic Fractions |

**Arithmetic Fractions**

**A) Equivalent Fractions:**

Remember there's no prejudice in math -- what you do to the top, you do to the bottom!

**example:** Fill in the blank space to create an equivalent fraction:

Since we multiplied 7 by 6 to get 42, we do the same to 5.

The solution is

But, 6/6 = 1, so we haven't changed the value of the original fraction. We just multiplied it by one.

**Equivalent Fractions Exercise #1:**

Fill in the blanks to create an equivalent fraction.

a) | b) | c) | d) | e) |

.

**B) Reducing Fractions to Lowest Terms**

Just as we can get equivalent fractions when we multiply by one, we can do the same when we divide by one. In this case we **reduce the fraction to lowest terms**. So, instead of leaving an answer of 15/20, we would reduce it to 3/4,

since

**Equivalent Fractions Exercise #2:**

Now we divide top and bottom by the same value

**Factor** these fractions then **Reduce** to **lowest** terms.

a) | b) | c) | d) | e) |

.

**C) Integers (whole numbers) and Mixed Numbers as Fractions**

When we need to turn mixed numbers into improper fractions, we change the integer part of the mixed number to a fraction with the right denominator like this.

**Example:** Change into an improper fraction.

**Solution:** Since

**Equivalent Fractions Exercise #3:**

Rewrite these mixed numbers as improper fractions.

a) | b) | c) | d) | e) |

.

**Solutions**

**Equivalent Fractions Exercise #1:**

a) | b) | c) | d) | e) |

.

**Equivalent Fractions Exercise #2:**

**Factor** these fractions then **Reduce** to **lowest** terms.

a) | b) | c) | d) | e) |

.

**Equivalent Fractions Exercise #3:**

Rewrite these mixed numbers as improper fractions.

a) | b) | c) | d) | e) |

.

*| MathHub* | *Arithmetic MathRoom Index* |