a) Multiply the whole number 3 by the denominator 10. Whole number 3 equally 3 * 10/ 10 = 30/ 10
b) Add the answer from previous step 30 to the numerator 6. New numerator is 30 + 6 = 36
c) Write a previous answer (new numerator 36) over the denominator 10.
Step 3:
Add: 63/ 10 + 36/ 10 = 63 + 36/ 10 = 99/ 10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM (10, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 * 10 = 100. In the following intermediate step, the fraction result cannot be further simplified by canceling.
Answers & Comments
Answer:
9 9/10
Step-by-step explanation:
Step 1:
Conversion a mixed number 6 3/ 10 to a improper fraction: 6 3/10 = 6 3/ 10 = 6 · 10 + 3/ 10 = 60 + 3/ 10 = 63/ 10
To find a new numerator:
a) Multiply the whole number 6 by the denominator 10. Whole number 6 equally 6 * 10/ 10 = 60/ 10
b) Add the answer from previous step 60 to the numerator 3. New numerator is 60 + 3 = 63
c) Write a previous answer (new numerator 63) over the denominator 10.
Step 2:
Conversion a mixed number 3 6/ 10
to a improper fraction: 3 6/10 = 3 6/ 10 = 3 · 10 + 6/ 10 = 30 + 6/ 10 = 36/ 10
To find a new numerator:
a) Multiply the whole number 3 by the denominator 10. Whole number 3 equally 3 * 10/ 10 = 30/ 10
b) Add the answer from previous step 30 to the numerator 6. New numerator is 30 + 6 = 36
c) Write a previous answer (new numerator 36) over the denominator 10.
Step 3:
Add: 63/ 10 + 36/ 10 = 63 + 36/ 10 = 99/ 10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM (10, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 * 10 = 100. In the following intermediate step, the fraction result cannot be further simplified by canceling.
#AlexTheNerd
#Math
#YameteKudasai