Multiply 7/10 by 1 1/4 . Write the result in simplest form.
To multiply 7/10 by 1 1/4, we first need to convert the mixed number 1 1/4 into an improper fraction.
To do this, we multiply the whole number (1) by the denominator of the fraction (4), and then add the numerator (1). This gives us 4 + 1 = 5.
So, 1 1/4 as an improper fraction is 5/4.
Now, we can multiply 7/10 by 5/4:
(7/10) x (5/4) = (7 x 5) / (10 x 4) = 35/40.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 5:
35/40 / 5/5 = (35/40) x (5/5) = 7/8.
So, 7/10 x 1 1/4 = 7/8.