fractional value of 5 1/3 + 6 2/5
To find the value of the expression 5 1/3 + 6 2/5, first, we need to convert the mixed numbers into improper fractions.
To convert 5 1/3 to an improper fraction, we multiply the whole number (5) by the denominator of the fractional part (3) and add the numerator (1). This gives us: 5 * 3 + 1 = 15 + 1 = 16. So, 5 1/3 as an improper fraction is 16/3.
To convert 6 2/5 to an improper fraction, we use the same process. 6 * 5 + 2 = 30 + 2 = 32. Therefore, 6 2/5 as an improper fraction is 32/5.
Now that we have both fractions in the same form, we can add them:
16/3 + 32/5
To add fractions, the denominators must be the same. The least common multiple (LCM) of 3 and 5 is 15. So, we need to adjust the fractions accordingly:
Multiplying the numerator and denominator of 16/3 by 5, we get: (16 * 5)/(3 * 5) = 80/15.
Multiplying the numerator and denominator of 32/5 by 3, we get: (32 * 3)/(5 * 3) = 96/15.
Now we can add the fractions with the same denominator:
80/15 + 96/15 = (80 + 96)/15 = 176/15.
Therefore, the fractional value of 5 1/3 + 6 2/5 is 176/15.