To solve the expression \( 5 - 3 : 7 + 10 \), we need to follow the order of operations (PEMDAS/BODMAS).
First, we clarify whether "3:7" means division or a ratio. Here, we will assume it means division. Thus, the expression can be rewritten as:
\[ 5 - \frac{3}{7} + 10 \]
Now, we perform the operations step by step:
Calculate \( \frac{3}{7} \):
- \( 0.42857 \) (approx)
Substitute back into the expression: \[ 5 - 0.42857 + 10 \]
Calculate \( 5 - 0.42857 \):
- \( 4.57143 \) (approx)
Now, add \( 10 \): \[ 4.57143 + 10 = 14.57143 \]
So, the answer to the expression \( 5 - 3 : 7 + 10 \) is approximately \( 14.57 \).