An expression is shown. 1 3/7 divided by 1 1/3

What is the value of the expression as a mixed number?

1 ¹⁄₁₄

Step-by-step explanation:

[Step 1] [convert mixed fractions to improper fractions]

1 3/7 divided by 1 1/3 →

a b/c = b + a(c) / c = (b + ac) / c.

3 + 1(7) / 7 divided by 1 + 1(3) / 3 →

10 / 7 divided by 4 / 3.

[Step 2] [flip the numerator and denominator(take the reciprocal) of the fraction you are dividing by and multiply]

10 / 7 divided by 4 / 3 →

a / b → b / a = 1 / (a / b) = (a / b) ^ -1.

10 / 7 multiplied by (3 / 4).

When you multiply 2 fractions, you multiply across. Numerator × Numerator / Denominator × Denominator.

a / b × c / d = (a × c) / (b × d).

10 / 7 multiplied by (3 / 4) →

10 / 7 × 3 / 4 →

(10 × 3) / (7 × 4) →

30 / 28.

[Reduce completely until the denominator or numerator is prime or can only be divided by one and itself to remain an integer]

30 / 28 →

15 / 14.

[Find the difference between the numerator and denominator and that will be the numerator of the mixed fraction or the remainder, the denominator will be the same denominator of the improper fraction and the whole part will be how many times the denominator can fit in the numerator of the improper fraction]

[Or you can do long division and you will add the quotient (top number above long division bar) and the remainder.]

a / b = (# times b fits into a) + (remainder / b).

15 / 14 = (# times 14 fits into 15) + (1 / 14).

15 / 14 = 1 + (1 / 14)

15 / 14 = 1 ¹⁄₁₄