Find the area of the triangle with base 7/8 and height 6/5
Multiply.
would the answer be 42/40 but then simplify it to 21/20?
Yes -- and
21/20 = 1 1/20
area of triangle = (1/2)base x height
= (1/2)(7/8)(6/5)
= 21/40
To find the area of a triangle, you can use the formula: area = (base * height) / 2.
In this case, the base is 7/8 and the height is 6/5.
Substituting these values into the formula, we have:
area = (7/8 * 6/5) / 2
To simplify this calculation, you can multiply the numerators (7 * 6) to get 42, and multiply the denominators (8 * 5) to get 40.
Therefore, the formula becomes:
area = 42/40 / 2
Now, to divide a fraction by a whole number, you can multiply the numerator of the fraction by the reciprocal of the whole number. In this case, we need to divide 42/40 by 2, so we multiply the numerator (42) by the reciprocal of 2 (1/2).
This gives us:
area = (42/40) * (1/2)
To multiply fractions, you simply multiply the numerators (42 * 1) to get 42, and multiply the denominators (40 * 2) to get 80.
Therefore, the area of the triangle is:
area = 42/80
Simplifying this fraction further, both the numerator and denominator can be divided by their greatest common divisor, which is 2.
Dividing 42 by 2 gives us 21, and dividing 80 by 2 gives us 40.
So, the final area of the triangle is:
area = 21/40
Therefore, the area of the triangle with a base of 7/8 and a height of 6/5 is 21/40.