Question

write the answer for each problem. if you dont know how to work the problem, put an x over it and move to the next problem. complete the problems in order. simplify fractions to their most common form.
39 + 11 + 5
2\frac{3}{6} \times 1\frac{1}{4}
\frac{3}{4} \div \frac{1}{4}
\frac{-854}{14}
2\frac{3}{4} \times 4\frac{2}{3}
\frac{1}{9} \div 40
-54 \times -29
17.2 \overline{)218.44}
\frac{24}{50} \div \frac{6}{25}
8 - 15
125 \times -131
2.3 \times 5.1
-15 - 6 - (-7)
\frac{7}{8} \times \frac{6}{7}
-275 \div -25
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tier: grade 6, form 1
correct
incorrect

Explanation:

Step1: Add leftmost numbers first

$39 + 11 = 50$

Step2: Add remaining number

$50 + 5 = 55$

Step1: Convert mixed numbers to improper fractions

$2\frac{3}{6}=\frac{15}{6}$, $1\frac{4}{6}=\frac{10}{6}$

Step2: Multiply the fractions

$\frac{15}{6} \times \frac{10}{6} = \frac{150}{36}$

Step3: Simplify the fraction

$\frac{150}{36} = \frac{25}{6} = 4\frac{1}{6}$

Step1: Rewrite division as multiplication by reciprocal

$\frac{3}{4} \div \frac{1}{4} = \frac{3}{4} \times \frac{4}{1}$

Step2: Multiply numerators and denominators

$\frac{3 \times 4}{4 \times 1} = 3$

Step1: Divide numerator by denominator

$-854 \div 14 = -61$

Step1: Convert mixed numbers to improper fractions

$2\frac{3}{4}=\frac{11}{4}$, $4\frac{2}{3}=\frac{14}{3}$

Step2: Multiply the fractions

$\frac{11}{4} \times \frac{14}{3} = \frac{154}{12}$

Step3: Simplify the fraction

$\frac{154}{12} = \frac{77}{6} = 12\frac{5}{6}$

Step1: Rewrite division as multiplication by reciprocal

$\frac{1}{9} \div 40 = \frac{1}{9} \times \frac{1}{40}$

Step2: Multiply numerators and denominators

$\frac{1 \times 1}{9 \times 40} = \frac{1}{360}$

Step1: Multiply the two negative numbers

$-54 \times -29 = 54 \times 29$

Step2: Calculate the product

$54 \times 29 = 1566$

Step1: Perform decimal long division

$218.44 \div 17.2 = \frac{2184.4}{172}$

Step2: Compute the quotient

$\frac{2184.4}{172} = 12.7$

Step1: Rewrite division as multiplication by reciprocal

$\frac{24}{50} \div \frac{6}{25} = \frac{24}{50} \times \frac{25}{6}$

Step2: Simplify and multiply

$\frac{24 \times 25}{50 \times 6} = \frac{600}{300} = 2$

Step1: Subtract the two numbers

$8 - 15 = -7$

Step1: Multiply the two numbers

$125 \times -131 = -(125 \times 131)$

Step2: Calculate the product

$125 \times 131 = 16375$, so $-16375$

Step1: Multiply the decimals

$2.3 \times 5.1 = (2 + 0.3)(5 + 0.1)$

Step2: Expand and compute

$2\times5 + 2\times0.1 + 0.3\times5 + 0.3\times0.1 = 10 + 0.2 + 1.5 + 0.03 = 11.73$

Step1: Simplify the subtraction of negative

$-15 - 6 - (-7) = -15 - 6 + 7$

Step2: Compute step-by-step

$-15 - 6 = -21$, $-21 + 7 = -14$

Step1: Multiply numerators and denominators

$\frac{7}{8} \times \frac{6}{7} = \frac{7 \times 6}{8 \times 7}$

Step2: Simplify the fraction

$\frac{42}{56} = \frac{3}{4}$

Step1: Divide the two negative numbers

$-275 \div -25 = 275 \div 25$

Step2: Calculate the quotient

$275 \div 25 = 11$

Answer:

$55$
$4\frac{1}{6}$
$3$
$-61$
$12\frac{5}{6}$
$\frac{1}{360}$
$1566$
$12.7$
$2$
$-7$
$-16375$
$11.73$
$-14$
$\frac{3}{4}$
$11$