Answer:

1.) 7/15

2.) 1  9/16

Step-by-step explanation:

1.) 3/5×7/9=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×7/5×9=21/45

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 45 using

GCF(21,45) = 3

21÷3/45÷3=7/15

Therefore:

3/5×7/9=7/15

2.) 58÷410=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

5/8×10/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5×10/8×4=5032

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 50 and 32 using

GCF(50,32) = 2

50÷2/32÷2=2516

The fraction

25/16

is the same as

25÷16

Convert to a mixed number using

long division for 25 ÷ 16 = 1R9, so

25/16=19/16

Therefore:

5/8÷4/10=1 9/16