14 × (1/2)², 1/4 + 0.34, 1 4/5 ÷ 0.45, 0.6 − 1/3, 5.8 + 2 3/4, 4 1/2 − 1.06, 1/2 of 0.48, 3/4 of 2.8, 5.4 × 2…

Question

14 × (1/2)², 1/4 + 0.34, 1 4/5 ÷ 0.45, 0.6 − 1/3, 5.8 + 2 3/4, 4 1/2 − 1.06, 1/2 of 0.48, 3/4 of 2.8, 5.4 × 2 1/2

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the problems:

:

\frac{3,14 \times \left(\frac{1}{2}\right)^2}{\frac{1}{4} + 0,34}

Simplify the terms in the numerator and denominator.
$\text{Numerator: } 3,14 \times \left(\frac{1}{2}\right)^2 = 3,14 \times \frac{1}{4} = 0,785$ $\text{Denominator: } \frac{1}{4} + 0,34 = 0,25 + 0,34 = 0,59$
Divide the simplified numerator by the simplified denominator.
$\frac{0,785}{0,59}$
Convert to a fraction and simplify, or express as a decimal.
$\frac{785}{590} = \frac{157}{118} \approx 1,3305$
The final answer is $\boxed{\frac{157}{118} \text{ or } 1,3305}$ .

:
$1\frac{4}{5} \div 0,45$
Convert the mixed number and decimal to fractions.
$1\frac{4}{5} = \frac{9}{5}$ $0,45 = \frac{45}{100} = \frac{9}{20}$
Perform the division by multiplying by the reciprocal.
$\frac{9}{5} \div \frac{9}{20} = \frac{9}{5} \times \frac{20}{9}$
Simplify the expression.
$\frac{9 \times 20}{5 \times 9} = \frac{20}{5} = 4$
The final answer is $\boxed{4}$ .

:
$0,6 - \frac{1}{3}$
Convert the decimal to a fraction.
$0,6 = \frac{6}{10} = \frac{3}{5}$
Find a common denominator for the fractions.
$\frac{3}{5} - \frac{1}{3} = \frac{3 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} = \frac{9}{15} - \frac{5}{15}$
Perform the subtraction.
$\frac{9}{15} - \frac{5}{15} = \frac{4}{15}$
The final answer is $\boxed{\frac{4}{15}}$ .

:
$5,8 + 2\frac{3}{4}$
Convert the mixed number to a decimal.
$2\frac{3}{4} = 2 + 0,75 = 2,75$
Add the decimal numbers.
$5,8 + 2,75 = 8,55$
The final answer is $\boxed{8,55}$ .

:
$4\frac{1}{2} - 1,06$
Convert the mixed number to a decimal.
$4\frac{1}{2} = 4 + 0,5 = 4,5$
Perform the subtraction.
$4,5 - 1,06 = 3,44$
The final answer is $\boxed{3,44}$ .

:
$\frac{1}{2} \text{ of } 0,48$
Interpret "of" as multiplication.
$\frac{1}{2} \times 0,48$
Perform the multiplication.
$0,5 \times 0,48 = 0,24$
The final answer is $\boxed{0,24}$ .

:
$\frac{3}{4} \text{ of } 2,8$
Interpret "of" as multiplication.
$\frac{3}{4} \times 2,8$
Convert the fraction to a decimal.
$\frac{3}{4} = 0,75$
Perform the multiplication.
$0,75 \times 2,8 = 2,1$
The final answer is $\boxed{2,1}$ .

:
$5,4 \times 2\frac{1}{2}$
Convert the mixed number to a decimal.
$2\frac{1}{2} = 2 + 0,5 = 2,5$
Perform the multiplication.
$5,4 \times 2,5 = 13,5$
The final answer is $\boxed{13,5}$ .

14 x (1/2)², 1/4 + 0.34, 1 4/5 ÷ 0.45, 0.6 - 1/3, 5.8 + 2 3/4, 4 1/2 - 1.06, 1/2 of 0.48, 3/4 of 2.8, 5.4 x 2 1/2

Step-by-step solution

Simplify the terms in the numerator and denominator.

Divide the simplified numerator by the simplified denominator.

Convert to a fraction and simplify, or express as a decimal.

Convert the mixed number and decimal to fractions.

Perform the division by multiplying by the reciprocal.

Simplify the expression.

Convert the decimal to a fraction.

Find a common denominator for the fractions.

Perform the subtraction.

Convert the mixed number to a decimal.

Add the decimal numbers.

Convert the mixed number to a decimal.

Perform the subtraction.

Interpret "of" as multiplication.

Perform the multiplication.

Interpret "of" as multiplication.

Convert the fraction to a decimal.

Perform the multiplication.

Convert the mixed number to a decimal.

Perform the multiplication.

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