Identify Numbers and Operation: Identify the numbers and the operation. (-4)/(7) ÷ 1(3)/(4)Convert to Improper Fraction: Convert mixed number to improper fraction. 1(3)/(4) = 1 + 3/4 = 4/4 + 3/4 = 7/4Rewrite as Multiplication: Rewrite the division as multiplication by the reciprocal. (-4)/(7) ÷ 7/4 = (-4)/(7) × 4/7Multiply Numerators and Denominators: Multiply the numerators and denominators. (-4) × 4 = -16 and 7 × 7 = 49Simplify Fraction: Simplify the fraction. -16/49 is already in simplest form.

Grade 8

Powers with negative bases

Full solution

\frac{-4}{7} \div 1 \frac{3}{4}=

Identify Numbers and Operation: Identify the numbers and the operation. $(-\frac{4}{7}) \div 1\frac{3}{4}$
Convert to Improper Fraction: Convert mixed number to improper fraction. $\newline$ $1\frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}$
Rewrite as Multiplication: Rewrite the division as multiplication by the reciprocal. $\newline$ $(-4)/(7) \div 7/4 = (-4)/(7) \times 4/7$
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ $(-4) \times 4 = -16$ and $7 \times 7 = 49$
Simplify Fraction: Simplify the fraction. $-\frac{16}{49}$ is already in simplest form.