Balloons 2

One balloon is 3 7/10 meters above the ground. A second balloon 2 3/5 meters higher. How far above the ground is the second balloon? Complete the addition equation and a related subtraction equation to model the problem. Use x to represent the height of the second balloon. Enter the correct answers in the boxes.

Correct answer:

x =  6 ³⁄₁₀ = 63/10 m

Step-by-step explanation:

$$\begin{gathered} a=3\frac{7}{10}=3+\frac{7}{10}=\frac{3\cdot 10+7}{10}=\frac{30+7}{10}=\frac{37}{10}=3.7\text{m} \\ b=2\frac{3}{5}=2+\frac{3}{5}=\frac{2\cdot 5+3}{5}=\frac{10+3}{5}=\frac{13}{5}=2.6\text{m} \\ x=a+b=\frac{37}{10}+\frac{13}{5}=\frac{37}{10}+\frac{26}{10}=\frac{37+26}{10}=\frac{63}{10}=\frac{63}{10}\text{m}=6\frac{3}{10}\text{m}=6.3\text{m} \end{gathered}$$

Try another example