Question

34/75 divided by 51/100

Answer 1

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction if possible.

Step-by-step explanation:

To divide fractions, we need to remember the rule: 'Dividing by a fraction is the same as multiplying by its reciprocal.'

So, to find the division of 34/75 by 51/100, we can multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 51/100 is 100/51.

Therefore, 34/75 divided by 51/100 is equal to (34/75) * (100/51).

When we multiply the numerators and the denominators, we get (34 * 100) / (75 * 51) = 3400 / 3825.

We can simplify this fraction by dividing both numerator and denominator by their greatest common divisor, which is 25.

So, 3400 / 3825 simplifies to 136/153.

Answer 2

`\cfrac{34}{75}/ \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}`