College

We appreciate your visit to Simplify frac 14 15 div frac 7 5. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Simplify \(\frac{14}{15} \div \frac{7}{5}\).

Answer :

To divide 14/15 by 7/5, multiply 14/15 by the reciprocal of 7/5, which is 5/7, to get the answer of 2/3 after simplification.

To divide the fraction 14/15 by 7/5, you can multiply 14/15 by the reciprocal (that is, the inverse) of 7/5, which is 5/7. Here is how you do it step-by-step:

Write down the problem: (14/15) / (7/5).

Find the reciprocal of the second fraction: Reciprocal of 7/5 is 5/7.

Multiply the first fraction by the reciprocal of the second fraction: (14/15) × (5/7).

Multiply the numerators together: 14 × 5 = 70.

Multiply the denominators together: 15 × 7 = 105.

Write down the resulting fraction: 70/105.

Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 35: (70/35)/(105/35) = 2/3.

The final answer is 2/3.

Thanks for taking the time to read Simplify frac 14 15 div frac 7 5. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

9514 1404 393

Answer:

2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]

__

2) use the numerators when the denominators are the same

[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]