We read your photo as:

Evaluate the expression: (15 80 180 200) (1/15 + 1/80 + 1/180 + 1/200)

Mathematics

ScanSolve AI Answer

Answer

3,876,000

Step-by-step solution

5 steps

  1. Write out the given expression.

    The expression is:

    (15×80×180×200)(115+180+1180+1200)(15 \times 80 \times 180 \times 200) \left( \frac{1}{15} + \frac{1}{80} + \frac{1}{180} + \frac{1}{200} \right)

  2. Distribute the product (15×80×180×200)(15 \times 80 \times 180 \times 200) to each term inside the parenthesis.

    Let P=15×80×180×200P = 15 \times 80 \times 180 \times 200.
    The expression becomes:

    P×115+P×180+P×1180+P×1200P \times \frac{1}{15} + P \times \frac{1}{80} + P \times \frac{1}{180} + P \times \frac{1}{200}

    Substitute PP back into each term:

    (15×80×180×200)×115+(15×80×180×200)×180+(15×80×180×200)×1180+(15×80×180×200)×1200(15 \times 80 \times 180 \times 200) \times \frac{1}{15} + (15 \times 80 \times 180 \times 200) \times \frac{1}{80} + (15 \times 80 \times 180 \times 200) \times \frac{1}{180} + (15 \times 80 \times 180 \times 200) \times \frac{1}{200}

  3. Simplify each term by canceling out common factors.

    Term 1: 15×80×180×20015=80×180×200\frac{15 \times 80 \times 180 \times 200}{15} = 80 \times 180 \times 200
    Term 2: 15×80×180×20080=15×180×200\frac{15 \times 80 \times 180 \times 200}{80} = 15 \times 180 \times 200
    Term 3: 15×80×180×200180=15×80×200\frac{15 \times 80 \times 180 \times 200}{180} = 15 \times 80 \times 200
    Term 4: 15×80×180×200200=15×80×180\frac{15 \times 80 \times 180 \times 200}{200} = 15 \times 80 \times 180

  4. Calculate the value of each simplified term.

    Term 1: 80×180×200=14400×200=2,880,00080 \times 180 \times 200 = 14400 \times 200 = 2,880,000
    Term 2: 15×180×200=2700×200=540,00015 \times 180 \times 200 = 2700 \times 200 = 540,000
    Term 3: 15×80×200=1200×200=240,00015 \times 80 \times 200 = 1200 \times 200 = 240,000
    Term 4: 15×80×180=1200×180=216,00015 \times 80 \times 180 = 1200 \times 180 = 216,000

  5. Sum the values of all terms.

    2,880,000+540,000+240,000+216,000=3,876,0002,880,000 + 540,000 + 240,000 + 216,000 = 3,876,000

    The final answer is 3,876,000.

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

More Mathematics Questions

QEvaluate the given expression: (32)/(3) of 21 + 3(3)/(4) / (3)/(8) − 4(1)/(2) × 3(1)/(3)5(5)/(8)…QEvaluate the expression: (1)/(2) of 3(1)/(3) + 1(1)/(2) (2(1)/(8) − (2)/(3))(3)/(4) of 2(1)/(2) /…QEvaluate the expression: (4 × 6 × 10 × 14) ( (1)/(4) + (1)/(6) + (1)/(10) + (1)/(14) )QEvaluate the following numerical expressions: (4/4 5) and ((45)2 / 4) × 80.
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp