Question

convert the ratio 1/3:1/4into simplest form​

Answer 1

Answer:

convert the ratio 1/3:1/4into simplest form

=1/3 / 1/4

=4/3

Answer 2

Answer:

1/3 : 1/4

First we need to find the least common multiple (L. C. M.) of the denominators 3 and 4 of the given ratio 1/3 : 1/4. The least common multiple (L. C. M.) of the denominators 3 and 4 = 12

Now we need to multiply each term of the ratio by this least common multiple 12.

= (1/3) × 12 : (1/4) × 12

= 12/3 : 12/4

= 4 : 3

Note: If each term of a ratio multiplied or divided by the same number or same quantity, the ratio remains the same.

In another alternative method we can convert 1/3 : 1/4 as,

= 1/3 ÷ 1/4, [Dividing first quantity by the second quantity]

= (1/3) × (4/1)

= 4/3

= 4 : 3