Question

Estimate the sum 10 1/9+ 5 14/15

Answer 1

Answer: $16\frac{2}{45}$

Turn 10 1/9 into an Improper Fraction

Multiply $10*9$ and get $90$. Now add $1$ and get $91$.

$10\frac{1}{9} =91/9$

Turn 5 14/15 into an Improper Fraction

Multiply $5*15$ and get $75$. Now add $14$ and get $89$.

$5\frac{14}{15} =89/15$

New Problem: $91/9+89/15$

Find Common Denominator

$9: 9,18,27,36,45\\15: 15,30,45,60,75\\CD=45$

New Problem: $91/45+89/45$

Add

$91/45+89/45=722/45$

Simplify

$722/45=16\frac{2}{45}$

Answer 2

Answer:

$16 \frac{2}{45}$

Step-by-step explanation:

$10 \frac{1}{9} + 5 \frac{14}{15} \\ \frac{91}{9} + \frac{89}{15} \\ \frac{91 \times 5}{9 \times 5} + \frac{89 \times 3}{15 \times 3} \\ \frac{455}{45} + \frac{267}{45} \\ = \frac{722}{45} \\ = 16 \frac{2}{45}$