Math / Numbers & Operations

Question $53 / 5 /(0.6+1.4) / 2+13 / 2$

Studdy Solution

STEP 1

1. We are given a mathematical expression to simplify.
2. The expression is $\frac{53}{5} \div (0.6 + 1.4) \div 2 + \frac{13}{2}$ .
3. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Simplify expressions inside parentheses.
2. Perform division operations from left to right.
3. Perform addition.

STEP 3

Simplify the expression inside the parentheses:
$0.6 + 1.4 = 2.0$

STEP 4

Substitute the simplified value back into the expression:
$\frac{53}{5} \div 2.0 \div 2 + \frac{13}{2}$

STEP 5

Perform the first division:
$\frac{53}{5} = 10.6$

STEP 6

Continue with the next division:
$10.6 \div 2.0 = 5.3$

STEP 7

Perform the final division:
$5.3 \div 2 = 2.65$

STEP 8

Add the result of the divisions to $\frac{13}{2}$ :
$2.65 + \frac{13}{2}$
Convert $\frac{13}{2}$ to a decimal:
$\frac{13}{2} = 6.5$

STEP 9

Perform the addition:
$2.65 + 6.5 = 9.15$
The simplified result of the expression is:
$\boxed{9.15}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms