### Adding Fractions − When the denominator is the same

The denominator remains the same. Just add the numerators and maybe write the fraction in its simplest form

- Example 1.
^{1}/_{5}+^{2}/_{5}=^{3}/_{5} - Example 2.
^{1}/_{10}+^{2}/_{10}=^{3}/_{10} - Example 3.
^{1}/_{7}+^{2}/_{7}=^{3}/_{7} - Example 4.
^{1}/_{3}+^{2}/_{3}=^{3}/_{3}= 1 - Example 5. 1
^{1}/_{4}+ 2^{3}/_{4}

(a) | Convert the mixed numbers to top heavy fractions |

1 ^{1}/_{4} + 2 ^{3}/_{4} = ^{5}/_{4} + ^{11}/_{4} | |

(b) | Add the top heavy fractions |

^{5}/_{4} + ^{11}/_{4} = ^{16}/_{4} = 4 |

Note: for a recap on simplifying fractions refer to Fractions - simplify

Note: for a recap on converting mixed numbers to top heavy fractions

refer to Fractions - convert mixed numbers to top heavy

Note: for a recap on converting top heavy fractions to mixed numbers

refer to Fractions - convert top heavy to mixed numbers