What the answer to 1/3 + (2/3 + 5/8)?

exact form : 13/8

decimal: 1.625

mixed number: 1 5/8

1 5/8 .  or 39/24

Step-by-step explanation:

Start with the numbers in the brackets

2/3 + 5/8

Use the LCM, which is 24

Multiply the numerators by the numbers which are used to multiply the denominators to 24

16/24 + 15/24 = 31/24

Now return to the 1/3 outside the bracket

1/3 + 31/24

Multiply the numerator and denominator by 8

8/24 + 31/24 = 39/24

Either keep it as 39/24 or the mixed fraction 1 15/24 to 1 5/8

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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