Write Expression: Write down the expression to be simplified. We have the expression -1(9)/(10)-3(5)/(7).Distribute Negative Signs: Distribute the negative signs to the numerators of the fractions. This gives us -(9)/(10) - (3*5)/(7).Multiply Numerators: Multiply the numerators for the second fraction. This gives us -(9)/(10) - (15)/(7).Find Common Denominator: Find a common denominator for the two fractions. The least common multiple (LCM) of 10 and 7 is 70.Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator of 70. This gives us -(9*7)/(10*7) - (15*10)/(7*10).Perform Multiplications: Perform the multiplications in the numerators and denominators. This gives us -(63)/(70) - (150)/(70).Combine Fractions: Combine the fractions by subtracting the numerators. This gives us -(63 + 150)/(70).Add Numerators: Add the numerators. This gives us -(213)/(70).Simplify Negative Sign: Simplify the negative sign. This gives us -213/70.

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$-1 \frac{9}{10}-3 \frac{5}{7}$

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Math Problems

Algebra 1

Evaluate integers raised to rational exponents

Full solution

-1 \frac{9}{10}-3 \frac{5}{7}

Write Expression: Write down the expression to be simplified. $\newline$ We have the expression $-1(9)/(10)-3(5)/(7)$ .
Distribute Negative Signs: Distribute the negative signs to the numerators of the fractions. $\newline$ This gives us $-(\frac{9}{10}) - (\frac{3\times 5}{7})$ .
Multiply Numerators: Multiply the numerators for the second fraction. $\newline$ This gives us $-\frac{9}{10} - \frac{15}{7}$ .
Find Common Denominator: Find a common denominator for the two fractions. $\newline$ The least common multiple (LCM) of $10$ and $7$ is $70$ .
Convert to Common Denominator: Convert each fraction to an equivalent fraction with the common denominator of $70$ . This gives us $-\frac{9\times 7}{10\times 7} - \frac{15\times 10}{7\times 10}$ .
Perform Multiplications: Perform the multiplications in the numerators and denominators. $\newline$ This gives us $-(\frac{63}{70}) - (\frac{150}{70})$ .
Combine Fractions: Combine the fractions by subtracting the numerators. $\newline$ This gives us $-\frac{63 + 150}{70}$ .
Add Numerators: Add the numerators. $\newline$ This gives us $-\frac{213}{70}$ .
Simplify Negative Sign: Simplify the negative sign. This gives us $-\frac{213}{70}.$