Which step has the error? Describe what the error is 5r22r+3÷4r+610 Step 1: 5r22r+3×2(2r+3)10 Step 2: 5r21×210=10r210 Step 3: 10r210=r2

Step 1 Right solution is 5r22r+3÷4r+610 step 1: 5r22r+3×102(2r+3) step 2: 50r22(2r+3)2 Hence it is clear from the above the error in step 1 (answer) Explanation: Rule: ab÷dc=ab×cd when two fractions are divided, we turns the second fraction in reciprocal form and the division sign changes into multiplication.

Explained: "Which step has the error? Describe what the..."

High School
Algebra
Pre-Algebra
Fractions

preprekomW

Answered question

2021-10-10

Which step has the error? Describe what the error is

\frac{5 r^{2}}{2 r + 3} \div \frac{4 r + 6}{10}

Step 1:

\frac{5 r^{2}}{2 r + 3} \times \frac{2 (2 r + 3)}{10}

Step 2:

\frac{5 r^{2}}{1} \times \frac{2}{10} = \frac{10 r^{2}}{10}

Step 3:

\frac{10 r^{2}}{10} = r^{2}

Answer & Explanation

Pohanginah

Skilled2021-10-11Added 96 answers

Step 1
Right solution is

\frac{5 r^{2}}{2 r + 3} \div \frac{4 r + 6}{10}

step 1:

\frac{5 r^{2}}{2 r + 3} \times \frac{10}{2 (2 r + 3)}

step 2:

\frac{50 r^{2}}{2 {(2 r + 3)}^{2}}

Hence it is clear from the above the error in step 1 (answer)
Explanation:
Rule:

\frac{a}{b} \div \frac{d}{c} = \frac{a}{b} \times \frac{c}{d}

when two fractions are divided, we turns the second fraction in reciprocal form and the division sign changes into multiplication.

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