Find the value of the expression 2/7 × q for q&nbsp=&nbsp9 1/3. Write your answer as a fraction or as a whole or mixed number. _____

Convert to Improper Fraction: First, convert the mixed number q to an improper fraction. 9 1/3 can be written as (9×3 + 1)/3 = 28/3. Multiply Fractions: Next, multiply the fractions 2/7 and 28/3. Use the formula for multiplying fractions: (a/b) × (c/d) = (a×c)/(b×d). Here, a=2, b=7, c=28, d=3. So, (2×28)/(7×3) = 56/21. Simplify Result: Simplify the fraction 56/21. The greatest common divisor of 56 and 21 is 7. Divide both numerator and denominator by 7: 56 ÷ 7 = 8, 21 ÷ 7 = 3. Thus, 56/21 simplifies to 8/3.

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Find the value of the expression $\newline$ $\frac{2}{7} \times q$ $\newline$ for $q = 9\frac{1}{3}$ . $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____

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Math Problems

Grade 6

Evaluate variable expressions with decimals, fractions, and mixed numbers

Full solution

Q. Find the value of the expression

\newline

\frac{2}{7} \times q

\newline

for

q = 9\frac{1}{3}

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____

Convert to Improper Fraction: First, convert the mixed number $q$ to an improper fraction. $9 \frac{1}{3}$ can be written as $(9\times3 + 1)/3 = \frac{28}{3}$ .
Multiply Fractions: Next, multiply the fractions $\frac{2}{7}$ and $\frac{28}{3}$ . Use the formula for multiplying fractions: $\left(\frac{a}{b}\right) \times \left(\frac{c}{d}\right) = \frac{a\times c}{b\times d}$ . Here, $a=2$ , $b=7$ , $c=28$ , $d=3$ . So, $\frac{2\times28}{7\times3} = \frac{56}{21}$ .
Simplify Result: Simplify the fraction $\frac{56}{21}$ . The greatest common divisor of $56$ and $21$ is $7$ . Divide both numerator and denominator by $7$ : $56 \div 7 = 8$ , $21 \div 7 = 3$ . Thus, $\frac{56}{21}$ simplifies to $\frac{8}{3}$ .