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(a)
(-3)/(7) with denominator 49

(a) $\frac{-3}{7}$ with denominator $49$

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Multiply and divide rational expressions

Full solution

Q. (a)

\frac{-3}{7}

with denominator

49

Calculate Denominator Multiplication: To find the equivalent fraction of $(-3)/(7)$ with a denominator of $49$ , we need to determine what number we can multiply the denominator $7$ by to get $49$ . $\newline$ Calculation: $49 \div 7 = 7$ $\newline$ We need to multiply the denominator by $7$ to get $49$ .
Multiply Numerator and Denominator: Since we are finding an equivalent fraction, we must multiply both the numerator and the denominator by the same number to keep the value of the fraction the same. $\newline$ Calculation: $(-3) \times 7 = -21$ $\newline$ So, the numerator of the new fraction will be $-21$ .
Find New Denominator: Now, we multiply the original denominator by $7$ to get the new denominator. $\newline$ Calculation: $7 \times 7 = 49$ $\newline$ So, the denominator of the new fraction will be $49$ .
Final Equivalent Fraction: We have now found the equivalent fraction of $(-3)/(7)$ with a denominator of $49$ . The new fraction is $(-21)/(49)$ .

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