area of a triangle with a base of 1 4/5 yards, and a height of 5/7 yards.

A = 1/2bh

A = (1/2)(1 4/5)(5/7)

A = (1/2)(9/5)(5/7)

A = 45/70

A = 1 25/45 = 1 5/9 square yards

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You're very welcome.

To find the area of a triangle, you can use the formula:

Area = (base * height) / 2

In this case, the base of the triangle is 1 4/5 yards, and the height is 5/7 yards.

First, let's convert the mixed number of the base to an improper fraction:
1 4/5 = (1 * 5 + 4) / 5 = 9/5 yards

Now we can substitute the values into the formula:

Area = (9/5 * 5/7) / 2

Next, let's simplify the fraction multiplication:

Area = (9 * 5) / (5 * 7) / 2
= 45/35 / 2

To divide fractions, we need to multiply by the reciprocal of the second fraction:

Area = 45/35 * 1/2

Now, let's simplify the multiplication of fractions:

Area = (45 * 1) / (35 * 2)
= 45/70

Finally, let's simplify the fraction:

Area = 9/14 square yards

So, the area of the triangle is 9/14 square yards.