4 1/2 − (1/5 × (5 1/4 + 1/4))

Here is the solution to the problem: Simplify (1 + 1/4) × (5/8 − 1/2) Step 1: Simplify the expression inside the first parenthesis. 1 + 1/4 = 4/4 + 1/4 = (4+1)/(4) = 5/4 Step 2: Simplify the expression inside the second parenthesis. 5/8 − 1/2 = 5/8 − (1 × 4)/(2 × 4) = 5/8 − 4/8 = (5−4)/(8) = 1/8 Step 3: Multiply the results from Step 1 and Step 2. 5/4 × 1/8 = (5 × 1)/(4 × 8) = 5/32 The simplified expression is 5/32.

4 1/2 − (1/5 × (5 1/4 + 1/4))

Here is the solution to the problem: Simplify (1 + 1/4) × (5/8 − 1/2) Step 1: Simplify the expression inside the first parenthesis. 1 + 1/4 = 4/4 + 1/4 = (4+1)/(4) = 5/4 Step 2: Simplify the expression inside the second parenthesis. 5/8 − 1/2 = 5/8 − (1 × 4)/(2 × 4) = 5/8 − 4/8 = (5−4)/(8) = 1/8 Step 3: Multiply the results from Step 1 and Step 2. 5/4 × 1/8 = (5 × 1)/(4 × 8) = 5/32 The simplified expression is 5/32.

ScanSolve

We read your photo as:

4 1/2 - (1/5 x (5 1/4 + 1/4))

June 5, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{5}{32}

Step-by-step solution

3 steps

Here is the solution to the problem:

Simplify $(1 + \frac{1}{4}) \times (\frac{5}{8} - \frac{1}{2})$

Simplify the expression inside the first parenthesis.
$1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}$
Simplify the expression inside the second parenthesis.
$\frac{5}{8} - \frac{1}{2} = \frac{5}{8} - \frac{1 \times 4}{2 \times 4} = \frac{5}{8} - \frac{4}{8} = \frac{5-4}{8} = \frac{1}{8}$
Multiply the results from Step 1 and Step 2.
$\frac{5}{4} \times \frac{1}{8} = \frac{5 \times 1}{4 \times 8} = \frac{5}{32}$
The simplified expression is $\frac{5}{32}$ .

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

4 1/2 - (1/5 x (5 1/4 + 1/4))

Answer

Step-by-step solution

Simplify the expression inside the first parenthesis.

Simplify the expression inside the second parenthesis.

Multiply the results from Step 1 and Step 2.

Try one yourself

Still stuck on this one?

More Mathematics Questions