Question

1 2/7 1/5 as a fraction in its simplist form

Answer 1

The final answer after subtracting 2/7 from 1/5 is 3/35, simplified to its lowest form.

To solve the expression
`\( (2)/(7) - (1)/(5) \)`and express it in its simplest form, start by finding a common denominator. The least common denominator for 7 and 5 is 35. To make both fractions have a denominator of 35, you multiply the numerator and denominator of
`\( (2)/(7) \) by 5 (since 7 * 5 = 35)` and
`\( (1)/(5) \)` by 7 (since 5 * 7 = 35).

This gives us
`\( (2 * 5)/(7 * 5) -`
`(1 * 7)/(5 * 7) \)`, which simplifies to
`\( (10)/(35) - (7)/(35) \)`. Now, subtract the second fraction from the first to get
`\( (10)/(35) - (7)/(35)` =
`(10 - 7)/(35) = (3)/(35) \).`

Therefore,
`\( (2)/(7) - (1)/(5) \)` equals \( \frac{3}{35} \) when simplified. This final result cannot be reduced further as both the numerator and denominator do not share any common factors other than 1. Thus, the answer to the subtraction of two-sevenths from one-fifth is
`\( (3)/(35) \)` in its simplest form, representing the difference between the two fractions.

Question:"Subtract two-sevenths (2/7) from one-fifth (1/5) and express the result as a fraction in its simplest form