Accepted Solution
To calculate the division of two fractions, we use the formula mentioned in the 'Methods' section. Here, we're calculating what is \( \frac{5}{14} \) divided by \( \frac{12}{4} \).
The first fraction is \( \frac{5}{14} \) (the dividend), and the second fraction is \( \frac{12}{4} \) (the divisor). The formula for division of two fractions involves multiplication of the first fraction by the reciprocal of the second fraction. We do this in three steps:
Step 1: Multiply the numerator of the first fraction by the denominator of the second fraction: \( 5 \times 4 = 20 \).
Step 2: Multiply the denominator of the first fraction by the numerator of the second fraction: \( 14 \times 12 = 168 \).
Step 3: The result is the new fraction formed by the two results gained in steps 1 and 2 above: \( \frac{20}{168} \), which simplifies to \( \frac{5}{42} \).
The decimal form can be obtained by dividing the numerator of the result by the denominator: \( \frac{20}{168} = 0.119 \).
So, \( \frac{5}{14} \) divided by \( \frac{12}{4} \) equals \( \frac{5}{42} \) in fractional form and \( 0.119 \) in decimal form.
Now let's try solving these: - What is \( \frac{9}{19} \) divided by \( 85 \)? - \( 22 \) divided by what equals \( 9 \)? - What divided by \( 16 \) equals \( 67 \)? - What is \( \frac{4}{20} \) divided by \( \frac{2}{16} \)? - What is \( 4 \) divided by \( \frac{1}{13} \)?