Solve for t : {:[t÷(5)/(12)=-(3)/(10)],[t=◻]:}

Write Equation: First, let's write down the equation from the problem. t ÷ (5/12) = -(3/10)Eliminate Fraction: Now, we need to get rid of the fraction on the left side by multiplying both sides by its reciprocal, which is 12/5. t = -(3/10) * (12/5)Multiply: Let's do the multiplication. t = -3 * 12 / (10 * 5)Simplify Numbers: Now, simplify the numbers. t = -36 / 50Reduce Fraction: We can reduce the fraction by dividing both the numerator and the denominator by 2. t = -18 / 25

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Solve for
t :

{:[t÷(5)/(12)=-(3)/(10)],[t=◻]:}

Solve for $t$ : $\newline$ $\begin{array}{l} t \div \frac{5}{12}=-\frac{3}{10} \\ t=\square \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

t

\newline

\begin{array}{l} t \div \frac{5}{12}=-\frac{3}{10} \\ t=\square \end{array}

Write Equation: First, let's write down the equation from the problem. $\newline$ $t \div \left(\frac{5}{12}\right) = -\left(\frac{3}{10}\right)$
Eliminate Fraction: Now, we need to get rid of the fraction on the left side by multiplying both sides by its reciprocal, which is $\frac{12}{5}$ . $\newline$ $t = -\left(\frac{3}{10}\right) * \left(\frac{12}{5}\right)$
Multiply: Let's do the multiplication. $\newline$ t = $-3 \times 12 / (10 \times 5)$
Simplify Numbers: Now, simplify the numbers. $\newline$ $t = -\frac{36}{50}$
Reduce Fraction: We can reduce the fraction by dividing both the numerator and the denominator by $2$ . $t = \frac{-18}{25}$