Solve l^2 1/2*2 1/4 - Socratic AI (ScanMath)

Question

Simplify the expression

\frac{9}{8} l^{2}

Evaluate

l^{2} \times \frac{1}{2} \times 2 \frac{1}{4}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 4 + 1}{4}

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

l^{2} \times \frac{1}{2} \times \frac{9}{4}

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{9}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{9}{2 \times 4}

Multiply the numbers

\frac{9}{8}

l^{2} \times \frac{9}{8}

Solution

\frac{9}{8} l^{2}

Show Solution

l = 0

Evaluate

l^{2} \times \frac{1}{2} \times 2 \frac{1}{4}

To find the roots of the expression,set the expression equal to 0

l^{2} \times \frac{1}{2} \times 2 \frac{1}{4} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

2 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 \times 4 + 1}{4}

Multiply the terms

\frac{8 + 1}{4}

Add the terms

\frac{9}{4}

l^{2} \times \frac{1}{2} \times \frac{9}{4} = 0

Multiply

More Steps

Multiply the terms

l^{2} \times \frac{1}{2} \times \frac{9}{4}

Multiply the terms

More Steps

Evaluate

\frac{1}{2} \times \frac{9}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{9}{2 \times 4}

Multiply the numbers

\frac{9}{8}

l^{2} \times \frac{9}{8}

Use the commutative property to reorder the terms

\frac{9}{8} l^{2}

\frac{9}{8} l^{2} = 0

Rewrite the expression

l^{2} = 0

Solution

l = 0

Show Solution