Questions: 10/36 + 9/48 →

Solution Steps

To add two fractions, we need to find a common denominator. Once we have a common denominator, we can add the numerators and simplify the resulting fraction if possible.

First, we simplify the given fractions: \[ \frac{10}{36} = \frac{5}{18} \] \[ \frac{9}{48} = \frac{3}{16} \]

Next, we find a common denominator for the fractions \(\frac{5}{18}\) and \(\frac{3}{16}\). The least common multiple (LCM) of 18 and 16 is 144.

Convert each fraction to have the common denominator of 144: \[ \frac{5}{18} = \frac{5 \times 8}{18 \times 8} = \frac{40}{144} \] \[ \frac{3}{16} = \frac{3 \times 9}{16 \times 9} = \frac{27}{144} \]

Add the fractions with the common denominator: \[ \frac{40}{144} + \frac{27}{144} = \frac{40 + 27}{144} = \frac{67}{144} \]

Final Answer